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We propose a regularization of four dimensional chiral gauge theories using six-dimensional Dirac fermions. In our formulation, we consider two different mass terms having domain-wall profiles in the fifth and the sixth directions,…

高能物理 - 理论 · 物理学 2019-12-06 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

We study chiral symmetry breaking for fundamental charged fermions coupled electromagnetically to photons with the inclusion of four-fermion contact self-interaction term. We employ multiplicatively renormalizable models for the photon…

Motivated by recent progress on many flavor QCD on a lattice, we investigate conformal/walking dynamics by using Schwinger-Dyson (SD) equation within an improved ladder approximation for two-loop running coupling. By numerically solving the…

高能物理 - 格点 · 物理学 2015-10-15 Kohtaroh Miura , Kei-ichi Nagai , Akihiro Shibata

We explore the idea that in some class of strongly-coupled chiral $SU(N)$ gauge theories the infrared dynamics might be characterized by a bifermion condensate in the adjoint representation of the color gauge group. As an illustration, in…

高能物理 - 理论 · 物理学 2023-01-04 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio

The chiral phase transition induced by a charged scalar field is investigated numerically in a lattice fermion-gauge-scalar model with U(1) gauge symmetry, proposed recently as a model for dynamical fermion mass generation. For very strong…

高能物理 - 格点 · 物理学 2009-10-28 W. Franzki , C. Frick , J. Jersak , X. Q. Luo

We study two well-known $SU(N)$ chiral gauge theories with fermions in the symmetric, anti-symmetric and fundamental representations. We give a detailed description of the global symmetry, including various discrete quotients. Recent work…

高能物理 - 理论 · 物理学 2022-01-11 Philip Boyle Smith , Avner Karasik , Nakarin Lohitsiri , David Tong

Inspired by the Dirac model model of graphene, we consider a $(2+1)$-dimensional fermionic system in which fermions are described by four-component spinors. These fermions are proposed to interact with an electromagnetic field originating…

高能物理 - 理论 · 物理学 2025-04-04 Sergey N. Solodukhin

We consider the quark-meson model with two quark flavors in a constant external magnetic field $B$ at finite temperature $T$ and finite baryon chemical potential $\mu_B$. We calculate the full renormalized effective potential to one-loop…

高能物理 - 唯象学 · 物理学 2015-05-28 Jens O. Andersen , Rashid Khan

The study of QCD with two light dynamical fermions is of fundamental importance to understand the mechanism of color confinement. We present results of a numerical investigation on the order of the chiral phase transition with $N_f = 2$ by…

高能物理 - 格点 · 物理学 2008-11-26 M. D'Elia , A. Di Giacomo , C. Pica

We study four-dimensional gauge theories coupled to fermions in the fundamental and meson-like scalars. All requisite beta functions are provided for general gauge group and fermion representation. In the regime where asymptotic freedom is…

高能物理 - 理论 · 物理学 2021-11-17 Andrew D. Bond , Daniel F. Litim , Gustavo Medina Vazquez

A four-fermion model with additional higher-derivative terms is investigated in an external electromagnetic field. The effective potential in the leading order of large-N expansion is calculated in external constant magnetic and electric…

高能物理 - 唯象学 · 物理学 2017-08-23 E. Elizalde , S. P. Gavrilov , S. D. Odintsov , Yu. I. Shil'nov

We propose a six-dimensional regularization of four dimensional chiral gauge theories. We consider a massive Dirac fermion in six dimensions with two different operators having domain-wall profiles in the fifth and the sixth directions,…

高能物理 - 格点 · 物理学 2017-05-18 Hidenori Fukaya , Tetsuya Onogi , Shota Yamamoto , Ryo Yamamura

We initiate the study of the effects of strongly-coupled gauge interactions on the properties of the topological phases of matter. In particular, we discuss fermionic systems with three spatial dimensions, protected by time reversal…

高能物理 - 理论 · 物理学 2016-08-30 Yuji Tachikawa , Kazuya Yonekura

We study the dynamical breaking of chiral symmetry in the 3-d Thirring model for a small number of fermion species. The critical point is identified by fitting lattice data to an equation of state. The spectrum of the theory is studied to…

高能物理 - 格点 · 物理学 2007-05-23 L. Del Debbio

We show the infrared equivalence between a recently proposed model containing a six dimensional scalar field with a four-dimensional localized Higgs type potential and the four-dimensional Nambu-Jona-Lasinio (NJL) model. In the dual NJL…

高能物理 - 理论 · 物理学 2009-11-11 Emilian Dudas , Chloe Papineau

We consider discrete spacetime models known as quantum walks, which can be used to simulate Dirac particles. In particular we look at fermion doubling in these models, in which high momentum states yield additional low energy solutions…

量子物理 · 物理学 2026-03-03 Chaitanya Gupta , Anthony J. Short

The possibility that gauge theories with chiral symmetry breaking below the conformal window exhibit an infrared fixed point is explored. With this assumption three aspects of pion physics are reproduced if the the quark mass anomalous…

高能物理 - 唯象学 · 物理学 2023-08-16 Roman Zwicky

We investigate chiral symmetry breaking in a model of Dirac fermions with a complexified coupling constant whose imaginary part represents dissipation. We introduce a chiral chemical potential and observe that for real coupling a…

高能物理 - 理论 · 物理学 2021-03-16 Takuya Kanazawa

We study some dynamical properties of a Dirac field in 2+1 dimensions with spacetime dependent domain wall defects. We show that the Callan and Harvey mechanism applies even to the case of defects of arbitrary shape, and in a general state…

高能物理 - 理论 · 物理学 2009-10-31 C. D. Fosco , E. Fradkin , A. Lopez

We explore the phase structure of the Standard Model as the relative strengths of the SU(2) weak force and SU(3) strong force are varied. With a single generation of fermions, the structure of chiral symmetry breaking suggests that there is…

高能物理 - 理论 · 物理学 2019-11-13 Nakarin Lohitsiri , David Tong