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The breaking of chiral symmetry of light quarks at zero temperature in presence of strong quantizing magnetic fiels is studied using Nambu-Jona-Lasinio (NJL) model with Thomas-Fermi type semi-classical formalism. It is found that the…

天体物理学 · 物理学 2008-11-26 Sutapa Ghosh , Soma Mandal , Somenath Chakrabarty

We calculate the generational mass splitting of neutrinos in high temperature $SU(2)_{\scriptscriptstyle{L}}\otimes U(1)$ gauge theory when the temperature is above $250$ GeV and the gauge symmetry is restored. We consider the case of…

高能物理 - 唯象学 · 物理学 2009-10-28 A. Erdas , C. W. Kim , J. A. Lee

An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups $G=Z(N),U(N),SU(N)$ for all values of $N$ and the number of fermion flavors $N_f$. Calculated…

高能物理 - 格点 · 物理学 2024-10-08 O. Borisenko , V. Chelnokov , S. Voloshyn , P. Yefanov

A single mass-less fermionic field with an abelian U(1) gauge interaction (electrodynamics of a mass-less Dirac fermion) is studied by a variational method. Even without the insertion of any extra interaction the vacuum is shown to be…

高能物理 - 唯象学 · 物理学 2009-11-10 Fabio Siringo

We construct a fermionic lattice model containing interacting spin-$\frac{1}{2}$ fermions with an $O(4)$ symmetry. In addition the model contains a $\mathbb{Z}_2$ chiral symmetry which prevents a fermion mass term. Our model is motivated by…

高能物理 - 格点 · 物理学 2019-12-25 Hanqing Liu

We explore the thermodynamics of the 1+1-dimensional Gross-Neveu (GN) model at finite number of fermion flavors $N_f$, finite temperature and finite chemical potential using lattice field theory. In the limit $N_f \rightarrow \infty$ the…

高能物理 - 格点 · 物理学 2020-12-02 Julian Lenz , Laurin Pannullo , Marc Wagner , Björn Wellegehausen , Andreas Wipf

Formation of fermion bag solitons is an important paradigm in the theory of hadron structure. We report here on our non-perturbative analysis of this phenomenon in the 1+1 dimensional massive Gross-Neveu model, in the large $N$ limit. Our…

高能物理 - 理论 · 物理学 2009-11-11 Joshua Feinberg , Shlomi Hillel

Grand unification possibilities in Nambu-Jona-Lasinio-like models are studied. To address the problem of vector boson masses and nonrenormalizability of the theory, algebraic formalism encompassing the effective action, Schwinger-Keldysh…

高能物理 - 唯象学 · 物理学 2025-04-17 Sergii Kutnii

Massless 2+1D Dirac fermions arise in a variety of systems from graphene to the surfaces of topological insulators, where generating a mass is typically associated with breaking a symmetry. However, with strong interactions, a symmetric…

强关联电子 · 物理学 2018-02-21 Yi-Zhuang You , Yin-Chen He , Cenke Xu , Ashvin Vishwanath

The Schwinger model (QED_2) with N flavors of massive fermions on a circle of circumference L, or equivalently at finite temperature T, is reduced to a quantum mechanical system of N-1 degrees of freedom. With degenerate fermion masses (m)…

高能物理 - 理论 · 物理学 2009-10-28 J. E. Hetrick , Y. Hosotani , S. Iso

Quantum electrodynamics in $1 + 1$ space-time dimensions is analytically solvable for massless fermions, while no solution is known for massive fermions. Employing the classical-statistical approach, we simulate the real-time dynamics on a…

高能物理 - 唯象学 · 物理学 2014-09-05 Florian Hebenstreit , Jürgen Berges

We discuss the behavior of two non-supersymmetric chiral SU(N) gauge theories, involving fermions in the symmetric and antisymmetric two-index tensor representations respectively. In addition to global anomaly matching, we employ a recently…

高能物理 - 唯象学 · 物理学 2009-10-31 T. Appelquist , Z. Duan , F. Sannino

We consider the self-energy of strongly interacting fermions in the medium using gauge/gravity duality of $D4/D8$ system. We study the mass generation of the thermal and/or dense medium and the collective excitation called plasmino, by…

高能物理 - 理论 · 物理学 2013-05-27 Yunseok Seo , Sang-Jin Sin , Yang Zhou

The global center symmetry of quenched QCD at zero baryonic chemical potential is broken spontaneously at a critical temperature $T_c$ leading to a first-order phase transition. Including heavy dynamical quarks breaks the center symmetry…

高能物理 - 格点 · 物理学 2023-08-08 Reinhold Kaiser , Owe Philipsen

A grand canonical system of non-interacting fermions on a square lattice is considered at zero temperature. Three different phases exist: an empty lattice, a completely filled lattice and a liquid phase which interpolates between the other…

凝聚态物理 · 物理学 2015-06-25 M. Hettler , K. Ziegler

We study the Gross-Neveu model in 2+1 dimensions with a baryon chemical potential mu using both analytical and numerical methods. For mu greater than a critical value the model is chirally symmetric and has a Fermi surface with Fermi…

高能物理 - 格点 · 物理学 2009-11-10 Simon Hands , John B. Kogut , Costas G. Strouthos , Thao N. Tran

The Casimir effect arises from the zero-point energy of particles in momentum space deformed by the existence of two parallel plates. For degrees of freedom on the lattice, its energy-momentum dispersion is determined so as to keep a…

高能物理 - 格点 · 物理学 2021-06-15 Tsutomu Ishikawa , Katsumasa Nakayama , Kei Suzuki

$SU(N_c)$ lattice gauge theories with $N_f$ flavors of massless staggered fermions are considered at high quark chemical potential $\mu$ and any temperature $T$. In the strong coupling regime (sufficiently small $\beta$) they have been…

高能物理 - 格点 · 物理学 2015-11-13 E. T. Tomboulis

A model of $N$ 4-component massless fermions in a quartic self-interaction based on ref. \cite{gomes2022} is investigated in the presence of chemical potential and temperature via optimized perturbation theory that accesses finite-N…

高能物理 - 理论 · 物理学 2024-07-09 Y. M. P. Gomes , M. J. Neves

We study in detail the mechanism of baryon and lepton asymmetry generation in the framework of the $\nu$MSM (an extension of the Standard Model by three singlet fermions with masses smaller than the electroweak scale). We elucidate the…

高能物理 - 唯象学 · 物理学 2008-11-26 Mikhail Shaposhnikov