Parity violation in hot QCD: Why it can happen, and how to look for it

The arguments for the possibility of violation of P and CP symmetries of strong interactions at finite temperature are presented. A new way of observing these effects in heavy ion collisions is proposed—it is shown that parity violation should manifest itself in the asymmetry between positive and negative pions with respect to the reaction plane. Basing on topological considerations, we derive a lower bound on the magnitude of the expected asymmetry, which may appear within the reach of the current and/or future heavy ion experiments.

• Publication year

  2004

• Venue

  Physics Letters B

• Publication date

  2004-06-10

• Fields of study

  Physics

• Identifiers
  DOI 10.1016/j.physletb.2005.11.075arXiv hep-ph/0406125
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Strong CP breaking and quark antiquark repulsion in QCD, at finite theta

  2004cited by this paper
• Spontaneous violation of CP symmetry in the strong interactions.

  2003cited by this paper
• Vafa-Witten theorem on spontaneous breaking of parity

  2002cited by this paper
• Observing spontaneous strong parity violation in heavy-ion collisions

  2001cited by this paper
• Spontaneous parity violation in QCD at finite temperature: On the Inapplicability of the Vafa-Witten theorem

  2001cited by this paper
• Anomalous chirality fluctuations in the initial stage of heavy ion collisions and parity odd bubbles

  2001cited by this paper
• On absence of spontaneous parity breaking in QCD

  2001cited by this paper
• Domain wall bubbles in high energy heavy ion collisions

  2001cited by this paper
• θ vacua states in heavy ion collisions in the presence of dissipation and noise

  2001cited by this paper
• QCD at a Finite isospin density: From the pion to quark-antiquark condensation

  2000cited by this paper
• Resonant decay of parity odd bubbles in hot hadronic matter

  2000cited by this paper
• QCD at finite isospin density.

  2000cited by this paper
• Discussing the possibility of observation of parity violation in heavy ion collisions

  2000cited by this paper
• Parity and CT Realization in QCD

  1999cited by this paper
• Can induced theta vacua be created in heavy-Ion collisions?

  1999cited by this paper
• Pionic measures of parity and CP violation in high-energy nuclear collisions

  1999cited by this paper
• Domain walls and theta dependence in QCD with an effective Lagrangian approach

  1998cited by this paper
• Possibility of spontaneous parity violation in hot QCD

  1998cited by this paper
• THETA DEPENDENCE IN THE LARGE N LIMIT OF FOUR-DIMENSIONAL GAUGE THEORIES

  1998cited by this paper
• Anomalous Effective Lagrangian and Theta Dependence in QCD at Finite N_c

  1998cited by this paper
• Phase diagram of 3D SU(3) gauge-adjoint Higgs system

  1998cited by this paper
• A First Order Transition and Parity Violation in a Color Superconductor

  1998cited by this paper
• More on supersymmetric domain walls, N counting and glued potentials

  1997cited by this paper
• Non-perturbative dynamics in supersymmetric gauge theories

  1997cited by this paper
• Can θ/N Dependence for Gluodynamics be Compatible with 2π Periodicity in θ ?

  1997cited by this paper
• Emergence of coherent long wavelength oscillations after a quench: application to QCD

  1993cited by this paper
• Soft-pion emission in high-energy heavy-ion collisions.

  1992cited by this paper
• Spontaneous breaking of flavor symmetry and parity in lattice QCD with Wilson fermions.

  1992cited by this paper
• Production of classical pion field in heavy ion high energy collisions

  1991cited by this paper
• Classical states of the chiral field and nuclear collisions at very high energy

  1989cited by this paper
• How instantons solve the U(1) problem

  1986cited by this paper
• Strong P, CP, T violations in heavy-ion collisions

  1985cited by this paper
• Restrictions on Symmetry Breaking in Vector-Like Gauge Theories

  1984cited by this paper
• Parity Conservation in Quantum Chromodynamics

  1984cited by this paper
• New phase structure for lattice QCD with Wilson fermions

  1984cited by this paper
• CP Violating Effects in QCD

  1979cited by this paper
• Chiral Estimate of the Electric Dipole Moment of the Neutron in Quantum Chromodynamics

  1979cited by this paper
• Problem of Strong $P$ and $T$ Invariance in the Presence of Instantons

  1978cited by this paper
• A new light boson

  1978cited by this paper
• Constraints imposed by CP conservation in the presence of pseudoparticles

  1977cited by this paper
• Pseudoparticle Solutions of the Yang-Mills Equations

  1975cited by this paper
• Vacuum Stability and Vacuum Excitation in a Spin 0 Field Theory

  1974cited by this paper
• Some Features of Chiral Symmetry Breaking

  1971cited by this paper
• Axial vector vertex in spinor electrodynamics

  1969cited by this paper
• Question of Parity Conservation in Weak Interactions

  1956cited by this paper
• Quantum Theory of Fields

  1949cited by this paper

• Chiral Magnetic Effect in isobaric (9644Ru+9644Ru and 9640Zr+9640Zr) collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si9.svg"><mml:mrow><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi mathvariant="normal">NN</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo li

  2025cites this paper
• Time-evolution of parity-odd cascades in homogeneous Abelian and non-Abelian media with chiral imbalance

  2025cites this paper
• The generation of baryon asymmetry and hypermagnetic field by the chiral vortical effect in the presence of sphalerons

  2025cites this paper
• The $\theta$-term effects on isospin asymmetric hot and dense quark matter

  2025cites this paper
• Dominance of Electric Fields in the Charge Splitting of Elliptic Flow

  2025cites this paper
• Operators of Dirac’s theory with mass and axial chemical potential

  2025cites this paper
• Assessing background effects in search of the chiral vortical effect in relativistic heavy-ion collisions

  2025cites this paper
• Probing the contribution of various mass fragments in the production of magnetic field during heavy ion collisions

  2025cites this paper
• Chiral Cherenkov radiation in the presence of a time-dependent chiral chemical potential

  2025cites this paper
• Constraining the chiral magnetic effect using spectator and participant planes across Au+Au and isobar collisions at sNN=200\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek

  2025cites this paper
• Effects of quark gluon plasma droplet evolution on charge separation in small collision systems within a multiphase transport model

  2025cites this paper
• Chiral Magnetic Effect enhancement at lower collision energies

  2025cites this paper
• Chiral magnetic effect amplified baryogenesis at first-order phase transitions

  2025cites this paper
• Constraining the CME in AVFD-simulated heavy-ion collisions using the Sliding Dumbbell Method

  2025cites this paper
• Probing the contribution of nucleons participating with various flow harmonics in the production of electromagnetic field in mid-rapidity zone

  2025cites this paper
• Experimental search for the chiral magnetic effect in relativistic heavy-ion collisions: A perspective

  2025cites this paper
• Real-time chiral dynamics at finite temperature from quantum simulation

  2024cites this paper
• Baryogenesis via the chiral magnetic effect in a first-order electroweak phase transition

  2024cites this paper
• Modeling of Local Strong Parity Non-Conservation Effects in Relativistic Heavy-Ion Collisions

  2024cites this paper
• Investigating event-shape methods in the search for the chiral magnetic effect in relativistic heavy ion collisions

  2024cites this paper
• Overview of high-density QCD studies with the CMS experiment at the LHC

  2024cites this paper
• Detecting anomalous CP violation in heavy-ion collisions through baryon-electric charge correlations

  2024cites this paper
• Quantum Equation of Motion and Quantum Noether’s Theorem in Quantum Field Theory

  2024cites this paper
• Chiral magnetic effect in heavy ion collisions: The present and future

  2024cites this paper
• Electromagnetic fields in low-energy heavy-ion collisions with baryon stopping

  2024cites this paper
• The Possibilities of Search for the Local Strong P-Symmetry Breaking in Decay of Charged a0 Meson in 3π± Decay Channel

  2024cites this paper
• Color chiral Cherenkov radiation and energy loss in the quark-gluon plasma

  2024cites this paper
• Evolution of the ρ meson's spin alignment in a pion gas

  2024cites this paper
• Influence of the chiral magnetic effect on particle-pair elliptic anisotropy

  2024cites this paper
• Chiral phase transition and spin alignment of vector mesons with chiral imbalance in a rotating QCD medium

  2024cites this paper
• Example of the convergence of hydrodynamics in strong external fields

  2024cites this paper
• Long lived quasi normal modes

  2024influential citation
• Effects of Local Parity Nonconservation in Strong Interactions in Pb–Pb Collisions at LHC Energy

  2024cites this paper
• Exploring the chiral magnetic effect in isobar collisions through chiral anomaly transport

  2024cites this paper
• Anisotropic linear waves and breakdown of the momentum expansion in spin magnetohydrodynamics

  2024cites this paper
• Photon production by chiral magnetic effect in the early stage of high-energy nuclear collisions

  2024cites this paper
• Photon polarization tensor at finite temperature and density in a magnetic field

  2024cites this paper
• New method to clarify the contribution of the chiral magnetic effect in small collision systems p↑+A involving a transversely polarized proton

  2024cites this paper
• Search for the chiral magnetic effect in Au+Au collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msqrt><mml:mrow><mml:msub><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mi mathvariant="normal">NN</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:msqrt>

  2023cites this paper
• Dense nuclear matter equation of state from heavy-ion collisions

  2023cites this paper
• Casimir effect in axion electrodynamics with lattice regularizations

  2023cites this paper
• The Present and Future of QCD

  2023cites this paper
• Collective Excitation in High-Energy Nuclear Collisions - In Memory of Professor Lianshou Liu

  2023cites this paper
• Estimate of background baseline and upper limit on the chiral magnetic effect in isobar collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:mrow></mml:msub></mml:msqrt><mml:mo>=</

  2023cites this paper
• Evolution of topological charge through chiral anomaly transport

  2023cites this paper
• Spin polarization and spin alignment from quantum kinetic theory with self-energy corrections

  2023cites this paper
• Magnetic field evolution in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathrm{Au+Au}$$\end{document}Au+Au collis

  2023cites this paper
• Dynamical induced quark spin polarization by magnetic field at the early stage of heavy-ion collisions

  2023cites this paper
• Azimuthal distribution of exponential format for particle collective motions in heavy-ion collisions under asynchronous assumption

  2023cites this paper
• Causality violation and the speed of sound of hot and dense quark matter in the Nambu–Jona-Lasinio model

  2023cites this paper
• Te Vacancy‐Driven Anomalous Transport in ZrTe5 and HfTe5

  2023cites this paper
• Evolution and fluctuations of chiral chemical potential in heavy ion collisions

  2023cites this paper
• Event shape selection method in search of the chiral magnetic effect in heavy-ion collisions

  2023cites this paper
• Study of the effects of external imaginary electric field and chiral chemical potential on quark matter

  2023cites this paper
• Examination of nucleon distribution with Bayesian imaging for isobar collisions

  2023cites this paper
• Electromagnetic bremsstrahlung and energy loss in chiral medium

  2023cites this paper
• Spacetime dynamics of chiral magnetic currents in a hot non-Abelian plasma

  2023cites this paper
• Nonlinear chiral magnetic waves

  2023cites this paper
• Electromagnetic field effects and anomalous chiral phenomena in heavy-ion collisions at intermediate and high energy

  2023cites this paper
• Progress on the experimental search for CME, CVE, and CMW

  2023cites this paper
• Upper limit on the chiral magnetic effect in isobar collisions at the Relativistic Heavy-Ion Collider

  2023cites this paper
• Search for the chiral magnetic and vortical effects using event shape approaches in Au+Au collisions at STAR

  2023cites this paper
• Difference between signal and background of the chiral magnetic effect relative to spectator and participant planes in isobar collisions at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msqrt><mml:msub><mml:mi>s</mml:mi><mml:mrow><mml:mi>N</mml:mi><mml:mi>N</mml:mi></mml:m

  2023cites this paper
• Chiral magnetic effect in a cylindrical domain

  2023cites this paper
• Sliding dumbbell method to search for the CME in heavy-ion collisions

  2022cites this paper
• Implications of the isobar-run results for the chiral magnetic effect in heavy-ion collisions

  2022influential citation
• Chiral Magnetic Effect in Heavy Ion Collisions and Beyond

  2022cites this paper
• Foundations and applications of quantum kinetic theory

  2022cites this paper
• Magnetic field induced corrections to the NJL model coupling constant from vacuum polarization

  2022cites this paper
• Scaling properties of background- and chiral-magnetically-driven charge separation in heavy ion collisions at $\sqrt s_{\mathrm{NN}}=200$ GeV

  2022influential citation
• Search for the chiral magnetic effect with isobar collisions at sNN=200 GeV by the STAR Collaboration at the BNL Relativistic Heavy Ion Collider

  2022cites this paper
• Topological confinement in Skyrme holography

  2022cites this paper
• The Chiral Medium in a Generalized Sigma Model and the Chiral Perturbation Theory

  2022cites this paper
• Elliptic flow of strange and multi-strange hadrons in isobar collisions at √SNN = 200 GeV at RHIC

  2022cites this paper
• Impact of globally spin-aligned vector mesons on the search for the chiral magnetic effect in heavy-ion collisions

  2022cites this paper
• Search for the Chiral Magnetic Wave in Pb–Pb collisions using the ALICE detector

  2022cites this paper
• Detecting nuclear mass distribution in isobar collisions via charmonium

  2022cites this paper
• The ALICE experiment: a journey through QCD

  2022cites this paper
• Search for the chiral magnetic effect in collisions between two isobars with deformed and neutron-rich nuclear structures

  2022cites this paper
• Scaling properties of background- and chiral-magnetically-driven charge separation: Implications for the chiral magnetic effect in heavy ion collisions

  2022cites this paper
• Global constraint on the magnitude of anomalous chiral effects in heavy-ion collisions

  2022cites this paper
• Applications of persistent homology in nuclear collisions

  2022cites this paper
• Holographic model for the first order phase transition in the composite Higgs boson scenario

  2022cites this paper
• Impact of nuclear structure on the background in the chiral magnetic effect in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mmultiscripts><mml:mi>Ru</mml:mi><mml:mprescripts /><mml:mn>44</mml:mn><mml:mn>96</mml:mn></mml:mmultiscripts><mml:mo>+</mml:mo><mml:mmultiscripts><

  2022cites this paper
• Search for the Chiral Magnetic Effect in Au+Au collisions at $\sqrt{s_{_{\rm{NN}}}}=27$ GeV with the STAR forward Event Plane Detectors

  2022cites this paper
• Polarization in heavy ion collisions: A theoretical review

  2022cites this paper
• Pair invariant mass to isolate background in the search for the chiral magnetic effect in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>Au</mml:mi><mml:mo> </mml:mo><mml:mo>+</mml:mo><mml:mo> </mml:mo><mml:mi>Au</mml:mi></mml:math> collisions at <mml:math xmlns:mml="http://www.

  2022cites this paper
• Shear-induced anomalous transport and charge asymmetry of triangular flow in heavy-ion collisions

  2022cites this paper
• States localized on a boundary of the time-dependent parity-breaking medium

  2022cites this paper
• Effects of Initial Density Fluctuations on Cumulants in Au + Au Collisions at sNN = 7.7 GeV

  2022cites this paper
• Spin evolution of massive fermion in QED plasma

  2022cites this paper
• Scaling properties of the $\Delta\gamma$ correlator and their implication for detection of the chiral magnetic effect in heavy-ion collisions

  2022cites this paper
• Chiral phase transition and equation of state in chiral imbalance *

  2021cites this paper
• Electromagnetic fields from the extended Kharzeev-McLerran-Warringa model in relativistic heavy-ion collisions

  2021cites this paper
• Magnetization energy current in the axial magnetic effect

  2021cites this paper
• Quantum kinetic theory for spin transport of quarks with background chromo-electromagnetic fields

  2021cites this paper
• Energy dependence of the chiral magnetic effect in expanding holographic plasma

  2021cites this paper
• Revisit the Chiral Magnetic Effect Expectation in Isobaric Collisions at the Relativistic Heavy Ion Collider

  2021cites this paper
• Two-point functions from chiral kinetic theory in magnetized plasma

  2021cites this paper
• Utilization of event shape in search of the chiral magnetic effect in heavy-ion collisions

  2021cites this paper