Regularizing thermo and magnetic contributions within nonrenormalizable theories
arXiv:2008.10720 · doi:10.1103/PhysRevD.103.056009
Abstract
The importance of implementing a proper regularization procedure in order to treat thermo and magnetic contributions within nonrenormalizable theories is investigated. Our study suggests that potential divergences should be isolated into the vacuum and purely magnetic contributions and then regularized while the convergent thermomagnetic contributions should be integrated over the full momentum range. This prescription is illustrated by applying the proper time formalism to the two flavor Polyakov--Nambu--Jona-Lasinio model, whose magnetic field dependent coupling has been recently determined. Observables such as the pressure, magnetization, speed of sound squared, and specific heat evaluated within our scheme are compared with results furnished by other three possible prescriptions. We show that these quantities display a thermomagnetic behavior which is physically more consistent when our scheme is adopted. In particular, we demonstrate that naively regulating the (entangled) vacuum, magnetic and thermomagnetic contributions leads to physically inconsistent results especially at the high temperature domain.
arXiv comment18 pages, 8 figures, 2 tables
References in corpus (56)
- The Chiral Magnetic Effect
- NJL-model analysis of dense quark matter
- Chiral effective model with the Polyakov loop
- Phases of QCD: lattice thermodynamics and a field theoretical model
- The QCD phase diagram for external magnetic fields
- The Phase Structure of the Polyakov--Quark-Meson Model
- QCD quark condensate in external magnetic fields
- Chiral Magnetic conductivity
- Chiral Phase Transition within Effective Models with Constituent Quarks
- QCD Phase Transition in a Strong Magnetic Background
- Phase diagram of hot QCD in an external magnetic field: possible splitting of deconfinement and chiral transitions
- Quark matter under strong magnetic fields in the Nambu--Jona-Lasinio Model
- The Importance of Asymptotic Freedom for the Pseudocritical Temperature in Magnetized Quark Matter
- Magnetic Catalysis vs Magnetic Inhibition
- Inverse magnetic catalysis in the (2+1)-flavor Nambu--Jona-Lasinio and Polyakov--Nambu--Jona-Lasinio models
- Thermodynamics of (2+1)-flavor QCD: Confronting Models with Lattice Studies
- Chiral transition in a strong magnetic background
- Magnetic field-induced gluonic (inverse) catalysis and pressure (an)isotropy in QCD
- Chiral Properties of Strong Interactions in a Magnetic Background
- Quark matter under strong magnetic fields in the su(3) Nambu-Jona-Lasinio Model
- Magnetic Oscillations in Dense Cold Quark Matter with Four-Fermion Interactions
- Quark Antiscreening at Strong Magnetic Field and Inverse Magnetic Catalysis
- Thermodynamics of the PNJL model
- Role of Vector Interaction and Axial Anomaly in the PNJL Modeling of the QCD Phase Diagram
- Thermo-magnetic effects in quark matter: Nambu--Jona-Lasinio model constrained by lattice QCD
- Deconfinement and chiral restoration within the SU(3) Polyakov--Nambu--Jona-Lasinio and entangled Polyakov--Nambu--Jona-Lasinio models in an external magnetic field
- QCD equation of state at nonzero magnetic fields in the Hadron Resonance Gas model
- pole mass calculation in a strong magnetic field and lattice constraints
- Quark droplets stability induced by external magnetic field
- Properties of neutral mesons in a hot and magnetized quark matter
- Phase diagram and critical properties within an effective model of QCD: the Nambu-Jona-Lasinio model coupled to the Polyakov loop
- Two-color QCD with staggered fermions at finite temperature under the influence of a magnetic field
- The QCD Critical End Point Under Strong Magnetic Fields
- Magnetic catalysis and inverse catalysis for heavy pions
- Thermo-magnetic evolution of the QCD strong coupling
- The magnetized effective QCD phase diagram
- Neutral meson properties in hot and magnetized quark matter: a new magnetic field independent regularization scheme applied to NJL-type model
- Inverse magnetic catalysis from the properties of the QCD coupling in a magnetic field
- How parameters and regularization affect the PNJL model phase diagram and thermodynamic quantities
- NJL-type models in the presence of intense magnetic fields: the role of the regularization prescription
- Magnetized baryons and the QCD phase diagram: NJL model meets the lattice
- Chern-Simons current and local parity violation in hot QCD matter
- Deconfinement, chiral symmetry restoration and thermodynamics of (2+1)--flavor hot QCD matter in an external magnetic field
- Thermo-magnetic properties of the strong coupling in the local Nambu--Jona-Lasinio model
- Magnetized color superconducting cold quark matter within the SU(2) NJL model: a novel regularization scheme
- BEC-BCS crossover in a cold and magnetized two color NJL model
- Collective modes and Kosterlitz-Thouless transition in a magnetic field in the planar Nambu--Jona-Lasino model
- Anisotropy in the equation of state of strongly magnetized quark matter within the Nambu--Jona-Lasinio Model
- Strange quark chiral phase transition in hot 2+1-flavor magnetized quark matter
- Thermodynamic potential with correct asymptotics for PNJL model
- Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization
- Magnetized color superconducting quark matter under compact star conditions: Phase structure within the SU(2)f NJL model
- Magnetic field dependent 't Hooft determinant extended Nambu--Jona-Lasinio Model
- Thermomagnetic correlation lengths of strongly interacting matter in the Nambu--Jona-Lasinio model
- Magnetic field driven instability in planar NJL model in real-time formalism
- Exploring the role of model parameters and regularization procedures in the thermodynamics of the PNJL model
Cited by in corpus (18)
- Recent progresses on QCD phases in a strong magnetic field -- views from Nambu--Jona-Lasinio model
- Impacts of (inverse) magnetic catalysis on screening masses of neutral pions and sigma mesons in hot and magnetized quark matter
- Light pseudo-scalar meson masses under strong magnetic fields within the SU(3) Nambu-Jona-Lasinio model
- Effects of the quark anomalous magnetic moment in the chiral symmetry restoration: magnetic catalysis and inverse magnetic catalysis
- Hot perturbative QCD in a very strong magnetic background
- Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics
- Phase diagram for strongly interacting matter in the presence of a magnetic field using the Polyakov-Nambu-Jona-Lasinio model with magnetic field dependent coupling strengths
- Magnetized pole-mass of neutral meson within full RPA evaluation
- Artificial first-order phase transition in a magnetized Nambu--Jona-Lasinio model with a quark anomalous magnetic moment
- Thermomagnetic Properties of QCD
- Effect of anomalous magnetic moment on the chiral transition at zero temperature in a strong magnetic field
- Thermomagnetic effects on light pseudo-scalar meson masses within the SU(3) Nambu-Jona--Lasinio model
- Strongly interacting matter in extreme magnetic fields
- Self-consistent thermodynamic potential for magnetized QCD matter
- Medium separation scheme effects on the magnetized and cold two-flavor superconducting quark matter
- Finite size effect on the thermodynamics of a hot and magnetized hadron resonance gas
- Electrical conductivity and shear viscosity of a pion gas in a thermo-magnetic medium
- Nambu--Jona-Lasinio model constrained by lattice QCD: thermomagnetic effects in the magnetization