scholarly journals PHASE TRANSITION INDUCED BY A MAGNETIC FIELD

1998 ◽  
Vol 13 (14) ◽  
pp. 1143-1154 ◽  
Author(s):  
G. W. SEMENOFF ◽  
I. A. SHOVKOVY ◽  
L. C. R. WIJEWARDHANA
Keyword(s):  
Magnetic Field ◽  
State Physics ◽  
Phase Transition ◽  
Order Parameter ◽  
Energy Gap ◽  
Chiral Symmetry Breaking ◽  
Mass Energy ◽  
Solid State Physics ◽  
Dynamical Mass ◽  
Magnetic Catalysis

The magnetic catalysis of discrete chiral symmetry breaking in the (2+1)-dimensional Nambu–Jona-Lasinio model is analyzed. Particular attention is paid to a possible application of the effect in solid state physics. The fermion contribution to the thermal conductivity as a function of the dynamical mass (energy gap in the spectrum) is estimated and is shown to be suppressed when a nonzero order parameter develops.

FRACTAL AND DYNAMICAL PROPERTIES OF THE KICKED HARPER MODEL

1994 ◽  
Vol 08 (03) ◽  
pp. 207-235 ◽  
Author(s):  
R. ARTUSO ◽  
G. CASATI ◽  
F. BORGONOVI ◽  
L. REBUZZINI ◽  
I. GUARNERI
Keyword(s):  
Magnetic Field ◽  
State Physics ◽  
Phase Diagram ◽  
Quantum Chaos ◽  
Multifractal Analysis ◽  
Model System ◽  
Magnetic Field Effects ◽  
Solid State Physics ◽  
Rich Phase ◽  
Dynamical Properties

We review recent work on the so-called kicked Harper model, which can be viewed either as a model system in the framework of quantum chaos, or as a pulsed version of the Harper model, which has been thoroughly investigated in the context of magnetic field effects in solid state physics. In particular we describe its rich phase diagram, by means of both dynamical methods and multifractal analysis of the spectrum.

SPONTANEOUS CHIRAL-SYMMETRY BREAKING AND SCALING LAW IN THREE-DIMENSIONAL QED

1990 ◽  
Vol 05 (06) ◽  
pp. 407-416 ◽  
Author(s):  
KEI-ICHI KONDO ◽  
HAJIME NAKATANI
Keyword(s):  
Chiral Symmetry ◽  
Order Parameter ◽  
Chiral Symmetry Breaking ◽  
Scaling Law ◽  
Three Dimensional ◽  
Dyson Equation ◽  
Dirac Fermion ◽  
Dynamical Mass ◽  
Planar Approximation ◽  
Spontaneous Breakdown

We analyze the critical behavior associated with spontaneous breakdown of chiral symmetry in QED3 (three-dimensional QED with four-component Dirac fermion using the SD (Schwinger-Dyson) equation. In the quenched planar approximation, we find an approximate solution such that QED3 resides in only one phase where the chiral symmetry is broken. Moreover, we predict the scaling law for the dynamical mass and chiral order parameter by an analytic study of the SD equation, which is then confirmed by solving the SD equation numerically. This scaling law is consistent with the Monte Carlo result in the quenched approximation.

scholarly journals Mass Spectra and Decay of Mesons under Strong External Magnetic Field

2021 ◽  
Author(s):  
Shuyun Yang ◽  
Meng Jin ◽  
DeFu Hou
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Mass Spectra ◽  
Chemical Potential ◽  
Energy Gap ◽  
Random Phase ◽  
High Energy ◽  
Decay Process ◽  
Triangle Diagram ◽  
Magnetic Catalysis

Abstract We study the mass spectra and decay process of σ and π0 mesons under strong external magnetic field. To achieve this goal, we deduce the thermodynamic potential in a two-flavor, hot and magnetized Nambu-Jona-Lasinio model. We calculate the energy gap equation through the random phase approximation (RPA). Then we use Ritus method to calculate the decay triangle diagram and self-energy in the presence of a constant magnetic field B. Our results indicate that the magnetic field has little influence on the mass of π0 at low temperatures. While for quarks and σ mesons, their mass changes obviously, which reflects the influence of magnetic catalysis (MC). The presence of magnetic field accelerates the decay of the meson while the presence of chemical potential will decrease the decay process. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

scholarly journals Chiral phase transition of three flavor QCD with nonzero magnetic field using standard staggered fermions

2018 ◽  
Vol 175 ◽  
pp. 07041 ◽  
Author(s):  
Akio Tomiya ◽  
Heng-Tong Ding ◽  
Swagato Mukherjee ◽  
Christian Schmidt ◽  
Xiao-Dan Wang
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Quark Mass ◽  
Chiral Condensate ◽  
Zero Magnetic Field ◽  
Chiral Phase ◽  
Chiral Phase Transition ◽  
Magnetic Catalysis ◽  
Staggered Fermions ◽  
The Magnetic Field

Lattice simulations for (2+1)-flavor QCD with external magnetic field demon-strated that the quark mass is one of the important parameters responsible for the (inverse) magnetic catalysis. We discuss the dependences of chiral condensates and susceptibilities, the Polyakov loop on the magnetic field and quark mass in three degenerate flavor QCD. The lattice simulations are performed using standard staggered fermions and the plaquette action with spatial sizes Nσ = 16 and 24 and a fixed temporal size Nτ = 4. The value of the quark masses are chosen such that the system undergoes a first order chiral phase transition and crossover with zero magnetic field. We find that in light mass regime, the quark chiral condensate undergoes magnetic catalysis in the whole temperature region and the phase transition tend to become stronger as the magnetic field increases. In crossover regime, deconfinement transition temperature is shifted by the magnetic field when quark mass ma is less than 0:4. The lattice cutoff effects are also discussed.

scholarly journals QCD Thermodynamics and Magnetization in Nonzero Magnetic Field

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Abdel Nasser Tawfik ◽  
Abdel Magied Diab ◽  
Nada Ezzelarab ◽  
Asmaa G. Shalaby
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Degrees Of Freedom ◽  
Thermodynamic Quantities ◽  
Magnetic Catalysis ◽  
Hadronic Phase ◽  
Linear Sigma Models ◽  
Quark Phase ◽  
The Magnetic Field ◽  
Paramagnetic Properties

In nonzero magnetic field, the magnetic properties and thermodynamics of the quantum-chromodynamic (QCD) matter are studied in the hadron resonance gas and the Polyakov linear-sigma models and compared with recent lattice calculations. Both models are fairly suited to describe the degrees of freedom in the hadronic phase. The partonic ones are only accessible by the second model. It is found that the QCD matter has paramagnetic properties, which monotonically depend on the temperature and are not affected by the hadron-quark phase transition. Furthermore, raising the magnetic field strength increases the thermodynamic quantities, especially in the hadronic phase, but reduces the critical temperature, that is, inverse magnetic catalysis.

scholarly journals Thermo-magnetic nonlocal NJL model in the real and imaginary time formalisms

2017 ◽  
Vol 32 (04) ◽  
pp. 1750027 ◽  
Author(s):  
F. Márquez ◽  
R. Zamora
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Analytic Structure ◽  
Imaginary Time ◽  
Field Limit ◽  
The Real ◽  
Magnetic Catalysis ◽  
Time Formalism ◽  
Deconfinement Phase Transition ◽  
The Magnetic Field

In this paper, we study a nonlocal Nambu–Jona-Lasinio (nNJL) model with a Gaussian regulator in presence of a uniform magnetic field. We take a mixed approach to the incorporation of temperature in the model, and consider aspects of both real and imaginary time formalisms. We include confinement in the model through the quasiparticle interpretation of the poles of the propagator. By working in the real time formalism and computing the spectral density function, we find that the effect of the magnetic field on the poles of the propagator can be entirely absorbed within the mean field value of the scalar field. The analytic structure of our propagator is then preserved in the weak magnetic field limit. The effect of the magnetic field in the deconfinement phase transition is then studied. It is found that, like with chiral symmetry restoration, magnetic catalysis occurs for the deconfinement phase transition. It is also found that the magnetic field enhances the thermodynamical instability of the system. We work in the weak field limit, i.e. [Formula: see text]. At this level there is no splitting of the critical temperatures for chiral and deconfinement phase transitions.

ULTRA-HIGH MAGNETIC FIELD FACILITIES IN INSTITUTE FOR SOLID STATE PHYSICS, UNIVERSITY OF TOKYO

1983 ◽  
pp. 309-318 ◽  
Author(s):  
Giyuu Kido ◽  
Noboru Miura ◽  
Kazuo Nakamura ◽  
Hideki Miyajima ◽  
Koichi Nakao ◽  
...  
Keyword(s):  
Magnetic Field ◽  
State Physics ◽  
Solid State ◽  
High Magnetic Field ◽  
Solid State Physics

scholarly journals To grow or not to grow: Thermomagnetic behavior of the strong coupling

2019 ◽  
Vol 206 ◽  
pp. 02001
Author(s):  
Alejandro Ayala ◽  
C. A. Dominguez ◽  
Saul Hernandez-Ortiz ◽  
L. A. Hernandez ◽  
M. Loewe ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Phase Transition ◽  
Transition Temperature ◽  
Strong Coupling ◽  
Magnetic Field Dependence ◽  
Magnetic Field Intensity ◽  
Quark Condensate ◽  
Temperature Decrease ◽  
Magnetic Catalysis ◽  
The Magnetic Field

The properties of strongly interacting matter at finite temperature in a magnetized medium have received a great deal of attention in recent years, mainly due to the so called Inverse Magnetic Catalysis phenomenon whereby the pseudo critical quiral phase transition temperature and the quark condensate above this transition temperature decrease as a function of the magnetic field intensity. In this work we argue that this phenomenon is linked to the properties of the strong coupling when its temperature and magnetic field dependence are considered.

scholarly journals Magnetic catalysis and the chiral condensate in holographic QCD

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Alfonso Ballon-Bayona ◽  
Jonathan P. Shock ◽  
Dimitrios Zoakos
Keyword(s):  
Magnetic Field ◽  
Symmetry Breaking ◽  
Chiral Symmetry ◽  
Chiral Limit ◽  
Chiral Symmetry Breaking ◽  
Free Energy Density ◽  
Chiral Condensate ◽  
Zero Magnetic Field ◽  
Magnetic Catalysis ◽  
Holographic Qcd

Abstract We investigate the effect of a non-zero magnetic field on the chiral condensate using a holographic QCD approach. We extend the model proposed by Iatrakis, Kiritsis and Paredes in [1] that realises chiral symmetry breaking dynamically from 5d tachyon condensation. We calculate the chiral condensate, magnetisation and susceptibilities for the confined and deconfined phases. The model leads, in the probe approximation, to magnetic catalysis of chiral symmetry breaking in both confined and deconfined phases. In the chiral limit, mq = 0, we find that in the deconfined phase a sufficiently strong magnetic field leads to a second order phase transition from the chirally restored phase to a chirally broken phase. The transition becomes a crossover as the quark mass increases. Due to a scaling in the temperature, the chiral transition will also be interpreted as a transition in the temperature for fixed magnetic field. We elaborate on the relationship between the chiral condensate, magnetisation and the (magnetic) free energy density. We compare our results at low and moderate temperatures with lattice QCD results.

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