Fate of the first-order chiral phase transition in QCD: Implications for dark QCD studied via a Nambu-Jona-Lasinio model

Abstract

The first-order nature of the chiral phase transition in QCD-like theories can play crucial roles to address a dark side of the Universe, where the created out-of equilibrium is essential to serve as cosmological and astrophysical probes such as gravitational wave productions, which have extensively been explored. This interdisciplinary physics is built based on a widely-accepted conjecture that the thermal chiral phase transition in QCD-like theories with massless (light) three flavors is of first order. We find that such a first order feature may not hold, when ordinary or dark quarks are externally coupled to a weak enough background field of photon or dark photon (which we collectively call a ``magnetic" field). We assume that a weak ``magnetic" background field could be originated from some ``magnetogenesis" in the early Universe. We work on a Nambu-Jona-Lasinio model which can describe the chiral phase transition in a wide class of QCD-like theories. We show that in the case with massless (light) three flavors, the first-order feature goes away when $2f_{\pi }^2\lesssim eB(\ll (4\pi f_{\pi }{)}^2)$, where $eB$ is the ``magnetic" field strength and $f_{\pi }$ the pion decay constant at the vacuum. This disappearance is the generic consequence of the presence of the ``magnetically" induced scale anomaly and the ``magnetic" catalysis for the chiral symmetry breaking, and would impact or constrain modeling dark QCD coupled to an external ``magnetic" field.

arXiv comment23 pages, 6 figures; references added; version published in Phys.Rev.D

References in corpus (54)

• QCD Phenomenology based on a Chiral Effective Lagrangian
• Magnetic Fields in the Early Universe
• The QCD phase diagram for external magnetic fields
• The SIMP Miracle
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• "Strongly interacting matter in magnetic fields": an overview
• The SIMPlest Miracle
• Hadronization in the SU(3) Nambu-Jona-Lasinio Model
• Primordial magnetic fields from pseudo-Goldstone bosons
• N-flationary magnetic fields
• The QCD equation of state in background magnetic fields
• Chiral phase transition temperature in (2+1)-Flavor QCD
• SIMP Spectroscopy
• On Primordial Magnetic Fields of Electroweak Origin
• Dark Quark Nuggets
• Electroweak and Conformal Symmetry Breaking by a Strongly Coupled Hidden Sector
• Deconfinement transition in two-flavour lattice QCD with dynamical overlap fermions in an external magnetic field
• QCD phase diagram in a magnetic background for different values of the pion mass
• Gauge-field production during axion inflation in the gradient expansion formalism
• Chiral Anomaly, Schwinger Effect, Euler-Heisenberg Lagrangian, and application to axion inflation
• Baryogenesis from axion inflation
• Magnetic Susceptibility of the Quark Condensate and Polarization from Chiral Models
• Observational prospects for gravitational waves from hidden or dark chiral phase transitions
• Chiral phase structure of three flavor QCD at vanishing baryon number density
• Magnetic catalysis and inverse catalysis for heavy pions
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Intergalactic Magnetic Fields from First-Order Phase Transitions
• Gravitational Waves from Hidden QCD Phase Transition
• On the Nature of the Magnetic Fields Generated During the Electroweak Phase Transition
• Magnetic susceptibility of QCD matter and its decomposition from the lattice
• Dark Confinement and Chiral Phase Transitions: Gravitational Waves vs Matter Representations
• Magnetic field and gravitational waves from the first-order Phase Transition
• Gravitational wave from dark sector with dark pion
• Dynamical Axions and Gravitational Waves
• Nambu-Goldstone Dark Matter in a Scale Invariant Bright Hidden Sector
• Critical point phase transition for finite temperature 3-flavor QCD with non-perturbatively O($a$) improved Wilson fermions at $N_{\mathrm{t}}=10$
• Magnetic field production at a first-order electroweak phase transition
• Chiral Gravitational Waves Produced in a Helical Magnetogenesis Model
• Hypermagnetogenesis from axion inflation: Model-independent estimates
• Hidden strongly interacting massive particles
• Effective treatment of U(1) gauge field and charged particles in axion inflation
• Gravitational Wave Signals from Multiple Hidden Sectors
• Gravitational Waves from Walking Technicolor
• Magnetic field generation from bubble collisions during first-order phase transition
• First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf and Electroweak phase transition
• Resonant magnetogenesis from axions
• Gravitational waves from chiral phase transition in a conformally extended standard model
• Compact Dark Matter Objects via $N$ Dark Sectors
• Model-independent constraints in inflationary magnetogenesis
• Soft contribution to the damping rate of a hard photon in a weakly magnetized hot medium
• Helical magnetic fields from Riemann coupling lead to baryogenesis
• Baryogenesis via gauge field production from a relaxing Higgs
• New interpretation of chiral phase transition: Violation of trilemma in QCD
• Detecting scale anomaly in chiral phase transition of QCD: new critical endpoint pinned down

Cited by in corpus (1)

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