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We discuss the functional representation of fermions, and obtain exact expressions for wave-functionals of the Schwinger model. Known features of the model such as bosonization and the vacuum angle arise naturally. Contrary to expectations,…

High Energy Physics - Theory · Physics 2009-10-31 David Nolland , Paul Mansfield

A vector-like extension of the standard model for heavier quarks and leptons with $SU(2)\times U(1)$ gauge symmetry and only one Higgs doublet is examined. This scheme incorporates infinitely many fermions and avoids the appearance of a…

High Energy Physics - Phenomenology · Physics 2017-02-01 Kazuo Fujikawa

We evaluate the entanglement entropy and entropic function of massive two dimensional QED (Schwinger model) at finite temperature, density, and $\theta$-angle. In the strong coupling regime, the entropic function is dominated by the boson…

High Energy Physics - Theory · Physics 2024-01-30 Sebastian Grieninger , Kazuki Ikeda , Dmitri E. Kharzeev , Ismail Zahed

We present Monte Carlo simulation results for the three dimensional Thirring model on moderate sized lattices using a hybrid molecular dynamics algorithm which permits an odd or non-integer number Nf of fermion flavors. We find a continuous…

High Energy Physics - Lattice · Physics 2009-10-31 Simon Hands , Biagio Lucini

We argue in favor of dynamical mass generation in an SU(2)xU(1) electroweak model with two complex scalar doublets with ordinary masses. The masses of leptons and quarks are generated by ultraviolet-finite non-perturbative solutions of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Tomas Brauner , Jiri Hosek

We propose a mass-varying dark matter (MVDM) model consisting of a scalar field and a fermionic field interacting via a simple Yukawa coupling, and containing an exponential self-interaction potential for the scalar field. Analyzing the…

High Energy Physics - Phenomenology · Physics 2024-02-06 Sayan Mandal , Neelima Sehgal

Significant effort has been devoted to the study of "non-Fermi liquid" (NFL) metals: gapless conducting systems that lack a quasiparticle description. One class of NFL metals involves a finite density of fermions interacting with soft order…

Strongly Correlated Electrons · Physics 2019-09-04 Jeremias Aguilera Damia , Shamit Kachru , Srinivas Raghu , Gonzalo Torroba

Some time ago Kaplan proposed a new model for the description of chiral fermions on the lattice by adding an extra dimension for the fermions. A variant of this proposal was introduced by Shamir and can be used to describe vector-like…

High Energy Physics - Lattice · Physics 2007-05-23 Andreas Jaster

For all the success of the Standard Model (SM), it is on the verge of being surpassed. In this regard we argue, by showing a minimal flavor-structured model based on the non-Abelian discrete $SL_2(F_3)$ symmetry, that $U(1)$…

High Energy Physics - Phenomenology · Physics 2019-02-20 Y. H. Ahn

We extend the Schwinger-Dyson equation (SDE) on the complex plane, which was treated in our previous research, to finite temperature. As a simple example, we solve the SDE for a model with four-fermion interactions in the (1+1) space-time…

High Energy Physics - Phenomenology · Physics 2024-07-09 Hidekazu Tanaka , Shuji Sasagawa

The origin of fermion mass hierarchies and mixings is one of the unresolved and most difficult problem in high-energy physics. One possibility to address the flavour problem is by extending the Standard Model to include a family symmetry.…

High Energy Physics - Phenomenology · Physics 2015-06-18 Stephen F. King , Alexander Merle , Stefano Morisi , Yusuke Shimizu , Morimitsu Tanimoto

A field theory describing the low-energy, long-wavelength sector of an incommensurate, spiral magnetic phase is derived from a spin-fermion model that is commonly used as a microscopic model for high-temperature superconductors. After…

Condensed Matter · Physics 2009-10-28 Susanne Klee , Alejandro Muramatsu

The Schwinger model with $N_f \geq 2$ flavors is a simple example for a fermionic model with zero chiral condensate Sigma (in the chiral limit). We consider numerical data for two light flavors, based on simulations with dynamical chiral…

High Energy Physics - Lattice · Physics 2020-07-14 David Landa-Marbán , Wolfgang Bietenholz , Ivan Hip

We investigate the possibility to construct a generalization of the Standard Model, which we call the Maximal Mass Model because it contains a limiting mass $M$ for its fundamental constituents. The parameter $M$ is considered as a new…

High Energy Physics - Phenomenology · Physics 2012-07-24 V. G. Kadyshevsky , M. D. Mateev , V. N. Rodionov , A. S. Sorin

We study a generic one-dimensonal quantum model of two flavors (pseudospins) chiral complex fermions by exact diagonalization, which can have local interflavor interaction and superconducting pairings (with all irrelevant terms ignored).…

Strongly Correlated Electrons · Physics 2022-09-15 Biao Lian

In a previous study, the flavor-changing fermion-graviton interactions have been analyzed in the framework of the standard model, where analytical results for the relevant form factors were obtained at the leading order in the external…

High Energy Physics - Theory · Physics 2013-10-30 Claudio Coriano , Luigi Delle Rose , Emidio Gabrielli , Luca Trentadue

This dissertation investigates the flavor mixing effects in supersymmetric models on electroweak precision observables, Higgs boson mass predictions, B-physics observables, quark flavor violating Higgs decays, lepton flavor violating…

High Energy Physics - Phenomenology · Physics 2016-05-09 Muhammad Rehman

Theories of flavor operate at various scales. Recently it has been pointed out that in the context of modular flavor symmetries certain combinations of observables are highly constrained, or even uniquely fixed, by modular invariance and…

High Energy Physics - Phenomenology · Physics 2026-03-25 Mu-Chun Chen , Shaheed Perez , Michael Ratz

We report extended simulation results and their new analysis in two important gauge theories with twelve fermion flavors in the fundamental SU(3) color representation and two fermions in the sextet representation. We probe the $N_f=12$…

High Energy Physics - Lattice · Physics 2012-05-10 Zoltan Fodor , Kieran Holland , Julius Kuti , Daniel Nogradi , Chris Schroeder , Chik Him Wong

We evaluate the chiral condensate and Polyakov loop in two-dimensional QED with a fermion of an arbitrary mass ($m$). We find discontinuous $m$ dependence in the chiral condensate and anomalous temperature dependence in Polyakov loops when…

High Energy Physics - Theory · Physics 2009-10-30 Yutaka Hosotani , Ramon Rodriguez