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A free spinor field on a noncommutative sphere is described starting from a canonical realization of the enveloping algebra U(u(2|1)). The gauge extension of the model - the Schwinger model on a noncommutative sphere is defined and the…

High Energy Physics - Theory · Physics 2007-05-23 H. Grosse , P. Presnajder

The Standard Model of electroweak interactions is shown to include a gauge theory for the observed scalar and pseudoscalar mesons. This is done by exploiting the consequences of embedding the SU(2)left X U(1) group into the chiral group of…

High Energy Physics - Phenomenology · Physics 2009-10-28 B. Machet

We formulate lattice theories in which chiral symmetry is realized nonlinearly on the fermion fields. In this framework the fermion mass term does not break chiral symmetry. This property allows us to use the Wilson term to remove the…

High Energy Physics - Lattice · Physics 2014-11-17 S. Chandrasekharan , M. Pepe , F. D. Steffen , U. -J. Wiese

Spinless systems exhibit unique topological characteristics compared to spinful ones, stemming from their distinct algebra. Without chiral interactions typically linked to spin, an intriguing yet unexplored interplay between topological and…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Cong Chen , Xu-Tao Zeng , Wang Yao

Moir\'e systems provide a highly tunable platform for engineering band structures and exotic correlated phases. Here, we theoretically study a model for a single layer of graphene subject to a smooth moir\'e electrostatic potential, induced…

Strongly Correlated Electrons · Physics 2023-06-30 Jeyong Park , Lasse Gresista , Simon Trebst , Achim Rosch , Jinhong Park

We introduce a new model describing a bosonic system with chiral properties. It consists of a free boson with two peculiar couplings to the background geometry which generalizes the Feigen-Fuchs-Dotsenko-Fateev construction. By choosing the…

High Energy Physics - Theory · Physics 2009-10-22 Fiorenzo Bastianelli

Quenched studies of a global U(1) symmetric Wilson-Yukawa model in two dimensions show no evidence of a charged fermion in the vortex phase at strong Wilson-Yukawa coupling while there is strong indication of a massive neutral fermion.…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Asit K. De , Erich Focht , Jan Smit

The anomalous generation of chirality with mass effects via the axial Ward identity and its dependence on the Schwinger mechanism is reviewed, utilizing parity violating homogeneous electromagnetic background fields. The role vacuum…

High Energy Physics - Phenomenology · Physics 2020-10-27 Patrick Copinger , Shi Pu

We investigate a class of four-fermion theories which includes well-known models like the Gross-Neveu model and the Thirring model. In three spacetime dimensions, they are used to model interesting solid state systems like high temperature…

High Energy Physics - Lattice · Physics 2016-11-02 Daniel Schmidt , Björn Wellegehausen , Andreas Wipf

We argue that a consistent quantization of the Floreanini-Jackiw model, as a constrained system, should start by recognizing the improper nature of the constraints. Then each boundary conditon defines a problem which must be treated…

High Energy Physics - Theory · Physics 2009-10-22 F. P. Devecchi , H. O. Girotti

The Weyl-Weinberg-Salam model is presented. It is based on the local conformal gauge symmetry. The model identifies the Higgs scalar field in SM with the Penrose-Chernikov-Tagirov scalar field of the conformal theory of gravity. Higgs…

High Energy Physics - Theory · Physics 2010-12-13 Marek Pawlowski

A new model for a colloidal size-asymmetric binary mixture is proposed: The Square-Shoulder-Asakura-Oosawa. This belongs to the larger class of non-additive hard-spheres models and has the property that its effective pair formulation is…

Soft Condensed Matter · Physics 2016-11-30 Riccardo Fantoni

The Schwinger model is studied with a new one - parameter class of gauge invariant regularizations that generalizes the usual point - splitting or Fujikawa schemes. The spectrum is found to be qualitatively unchanged, except for a limiting…

High Energy Physics - Theory · Physics 2009-10-22 G. Bhattacharya , A. Ghosh , P. Mitra

An approach to the formulation of chiral gauge theories on the lattice is to start with a vector-like theory, but decouple one chirality (the "mirror" fermions) using strong Yukawa interactions with a chirally coupled "Higgs" field. While…

High Energy Physics - Lattice · Physics 2015-06-12 Chen Chen , Joel Giedt , Erich Poppitz

We reexamine Bethe ansatz solutions of the massive Thirring model. We solve equations of periodic boundary conditions numerically without referring to the density of states. It is found that there is only one bound state in the massive…

High Energy Physics - Theory · Physics 2014-11-18 Takehisa Fujita , Kenji Yamamoto , Yasuyuki Sekiguchi

Nature of the phase transition of regularly frustrated vector spin systems in three dimensions is investigated based on a Ginzburg-Landau-type effective Hamiltonian. On the basis of the variational analysis of this model, Onoda et al…

Statistical Mechanics · Physics 2010-09-21 Tsuyoshi Okubo , Hikaru Kawamura

We examine the vacuum overlap formula for the two-dimensional SU(2) Wess-Zumino term in lattice regularization. Perturbatively it reproduces the Wess-Zumino term correctly in the continuum limit and yields the IR fixed point in the beta…

High Energy Physics - Lattice · Physics 2009-10-28 Y. Kikukawa , S. Miyazaki

The Sachs equations governing the evolution of the optical matrix of geodetic WANDs (Weyl aligned null directions) are explicitly solved in n-dimensions in several cases which are of interest in potential applications. This is then used to…

General Relativity and Quantum Cosmology · Physics 2014-11-21 Marcello Ortaggio , Vojtech Pravda , Alena Pravdova

In this work the bosonization of two-dimensional massive gauged Thirring model in the path-integral framework is presented. After completing the bosonization prescription, by the fermionic mass expansion, we perform an analysis of the…

High Energy Physics - Theory · Physics 2011-08-02 R. Bufalo , B. M. Pimentel

Chiral symmetry and unitarization are combined into generalized Breit-Wigner expressions describing scalar resonances, which contain free parameters and allow flexible descriptions of masses, widths and pole positions. This theoretical tool…

High Energy Physics - Phenomenology · Physics 2009-11-11 L. O. Arantes , M. R. Robilotta