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The gauge independence of the dynamical fermion mass generated through chiral symmetry breaking in QED in a strong, constant external magnetic field is critically examined. We present a (first, to the best of our knowledge) consistent…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. N. Leung , S. -Y. Wang

Recent development of inhomogeneous chiral phase in Kyoto group is briefly reviewed. First, the nesting effect of the Fermi surface is emphasized as a key mechanism leading to inhomogeneous chiral phase. After introduction of inhomogeneous…

High Energy Physics - Phenomenology · Physics 2018-02-14 Toshitaka Tatsumi

We study the ultraviolet to infrared evolution and nonperturbative behavior of a simple set of asymptotically free chiral gauge theories with an SU($N$) gauge group and an anomaly-free set of $n_{S_k}$ copies of chiral fermions transforming…

High Energy Physics - Theory · Physics 2015-12-11 Yan-Liang Shi , Robert Shrock

We present some results about the interplay between the chiral and deconfinement phase transitions in parity-conserving QED3 (with N flavours of massless 4 component fermions) at finite temperature. Following Grignani et al (Phys. Rev. D53,…

High Energy Physics - Theory · Physics 2009-10-31 I. J. R. Aitchison , C. D. Fosco

We study the problem of decoupling fermion fields in 1+1 and 2+1 dimensions, in interaction with a gauge field, by performing local transformations of the fermions in the functional integral. This could always be done if singular (large)…

High Energy Physics - Theory · Physics 2009-10-31 C. D. Fosco , F. A. Schaposnik

We argue a smallness of gauge couplings in abelian quiver gauge theories, taking the anomaly cancellation condition into account. In theories of our interest there exist chiral fermions leading to chiral gauge anomalies, and an anomaly-free…

High Energy Physics - Theory · Physics 2020-11-17 Yoshihiko Abe , Tetsutaro Higaki , Rei Takahashi

We discuss the kinetics of phase conversion, through the nucleation of bubbles and spinodal decomposition, after a chiral transition within an effective field theory approach to low-energy QCD. We study possible effects resulting from the…

High Energy Physics - Phenomenology · Physics 2017-08-23 Eduardo S. Fraga

We address the subject of chiral anomalies in two and four dimensional theories. Ambiguities associated with the $\gamma_5$ algebra within divergent integrals are identified, even though the physical dimension is not altered in the process…

High Energy Physics - Theory · Physics 2016-09-28 A. C. D. Viglioni , A. L. Cherchiglia , A. R. Vieira , Brigitte Hiller , Marcos Sampaio

The operator solution of the anomalous chiral Schwinger model is discussed on the basis of the general principles of Wightman field theory. Some basic structural properties of the model are analyzed taking a careful control on the Hilbert…

High Energy Physics - Theory · Physics 2008-02-03 C. G. Carvalhaes , L. V. Belvedere , C. P. Natividade , H. Boschi Filho

We consider Kogut-Susskind fermions (also known as staggered fermions) in a $(3+1)$-dimensional Hamiltonian formalism and examine a chiral transformation and its associated chiral anomaly. The Hamiltonian of the massless Kogut-Susskind…

High Energy Physics - Lattice · Physics 2026-03-25 Shoto Aoki , Yoshio Kikukawa , Toshinari Takemoto

We report the recent results from the computer simulations of a fermion-gauge-scalar model with dynamical chiral-symmetry breaking and chiral transition induced by the scalar field. This model might be considered to be a possible…

High Energy Physics - Lattice · Physics 2015-06-25 Xiang-Qian Luo , Wolfgang Franzki

We show that the assumption of non-zero topological susceptibility of the vacuum in a fermion-free version of a theory, such as gravity or QCD, suffices to conclude the following: Once N massless fermion flavors are added to the theory,…

High Energy Physics - Theory · Physics 2017-05-19 Gia Dvali

We study UV-complete Froggatt-Nielsen-like models for the generation of mass and mixing hierarchies, assuming that the integrated heavy fields are chiral with respect to an abelian Froggatt-Nielsen symmetry. It modifies the mixed anomalies…

High Energy Physics - Phenomenology · Physics 2020-02-19 Q. Bonnefoy , E. Dudas , S. Pokorski

We study brane realizations of chiral matter in N=1 supersymmetric gauge theories in four dimensions. A "cross" configuration which leads to "flavor doubling" is found to have a superpotential. The main example is realized using a special…

High Energy Physics - Theory · Physics 2008-11-26 Ilka Brunner , Amihay Hanany , Andreas Karch , Dieter Lust

We consider theories with gauged chiral fermions in which there are abelian anomalies, and no nonabelian anomalies (but there may be nonabelian gauge fields present). We construct an associated theory that is gauge invariant,…

High Energy Physics - Theory · Physics 2008-02-03 Paul Federbush

Chiral anomaly and the novel quantum phenomena it induces have been widely studied for Dirac and Weyl fermions. In most typical cases, the Lorentz covariance is assumed and thus the linear dispersion relations are maintained. However, in…

Mesoscale and Nanoscale Physics · Physics 2022-01-21 Lan-Lan Gao , Xu-Guang Huang

An intriguing feature of the Standard Model is that the representations of the unbroken gauge symmetries are vector-like whereas those of the spontaneously broken gauge symmetries are chiral. Here we provide a toy model which shows that a…

High Energy Physics - Theory · Physics 2009-04-30 A. Salvio , M. Shaposhnikov

We analyze the dynamical chiral symmetry breaking in gauge theories solely by the non-perturbative renormalization group, without recourse to the Schwinger-Dyson method. First, we briefly review the basic notions and formulation, and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ken-Ichi Aoki

In this study, we first heuristically construct the charges corresponding to the chiral transformation associated with the large U(1) gauge symmetry. We refer to these as the large chiral charges, and to the chiral transformation they…

High Energy Physics - Theory · Physics 2026-02-18 Shingo Takeuchi

In gauge-Higgs unification (GHU), gauge symmetry is dynamically broken by an Aharonov-Bohm (AB) phase, $\theta_H$, in the fifth dimension. We analyze $SU(2)$ GHU with an $SU(2)$ doublet fermion in flat $M^4 \times (S^1/Z_2)$ spacetime and…

High Energy Physics - Phenomenology · Physics 2022-04-27 Shuichiro Funatsu , Hisaki Hatanaka , Yutaka Hosotani , Yuta Orikasa , Naoki Yamatsu
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