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We study the gauge-fixing approach to the construction of lattice chiral gauge theories in one-loop weak-coupling perturbation theory. We show how infrared properties of the gauge degrees of freedom determine the nature of the continuous…

High Energy Physics - Lattice · Physics 2016-08-25 Wolfgang Bock , Maarten Golterman , Yigal Shamir

We present a method to find anomaly-free gauged Froggatt-Nielsen type models using results from algebraic geometry. These methods should be of general interest for model building beyond the Standard Model (SM) when rational charges are…

High Energy Physics - Phenomenology · Physics 2019-10-02 Johan Rathsman , Felix Tellander

The overlap approach to chiral gauge theories on arbitrary $D$--dimensional lattices is studied. The doubling problem and its relation to chiral anomalies for $D=2$ and 4 is examined. In each case it is shown that the doublers can be…

High Energy Physics - Lattice · Physics 2016-08-31 S. Randjbar-Daemi , J. Strathdee

We argue that two-dimensional dilaton gravity models can all be derived from an analog of Jacobson's covariant version of the first law of thermodynamics. We then specialize to the JT gravity model and couple it to massless fermions. This…

High Energy Physics - Theory · Physics 2022-05-17 Tom Banks , Patrick Draper , Bingnan Zhang

Drawing an analogy with the Dirac theory of fermions interacting with electromagnetic and gravitational field we write down supersymmetric equations of motion and construct a superfield action for particles with spin 1/4 and 3/4…

High Energy Physics - Theory · Physics 2008-11-26 Dmitrij P. Sorokin , Dmitrij V. Volkov

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We consider an abelian gauge theory with spontaneously broken symmetry containing a scalar-fermion coupling which is non-linear in the Higgs field. Although in the unitary gauge it reduces to a pure Yukawa term, suggesting that the theory…

High Energy Physics - Theory · Physics 2007-05-23 Nistor Nicolaevici

We analyze causality and unitarity constraints in graviton scattering amplitudes, aiming to establish new bounds on theories with $U(1)$-gravitational anomalies, such as axion models or strongly-coupled gauge theories. For this purpose, we…

High Energy Physics - Theory · Physics 2025-01-15 Zi-Yu Dong , Teng Ma , Alex Pomarol , Francesco Sciotti

I consider an Abelian gauge theory, with a complex scalar field and massless, chiral fermions, in the limit where the couplings and the interactions induce radiative symmetry breaking, and I derive and verify the Nielsen identities that…

High Energy Physics - Phenomenology · Physics 2021-04-14 Dimitrios Metaxas

It is well-known that the charge of fermion is 0 or $\pm1$ in the U(1) gauge theory on noncommutative spacetime. Since the deviation from the standard model in particle physics has not yet observed, and so there may be no room to…

High Energy Physics - Theory · Physics 2007-05-23 Yoshitaka Okumura

We discuss gravity-like formulations of massive Abelian and non-Abelian gauge field theories in four space-time dimensions with particular emphasis on the issue of gauge invariance. Alternative descriptions in terms of antisymmetric tensor…

High Energy Physics - Theory · Physics 2007-05-23 Dennis D. Dietrich

We consider fermions propagating in the bulk of the geometry found by deforming AdS, in 5 dimensions, via the back reaction of a scalar field upon the metric. This space is AdS for r asymptotically large (in the UV) but goes through a…

High Energy Physics - Phenomenology · Physics 2015-06-18 Robert Lawrance

Nonlinearly realized Abelian global symmetries can be reformulated as local shift symmetries gauged by three-form gauge fields. The anomalous symmetries of the Standard Model (such as Peccei-Quinn or $B+L$) can be dualized to local…

High Energy Physics - Theory · Physics 2007-05-23 Gia Dvali

We study 4-dimensional SU(N) gauge theory with one adjoint Weyl fermion and fundamental matter - either bosonic or fermionic. Symmetries, their 't Hooft anomalies, and the Vafa-Witten-Weingarten theorems strongly constrain the possible bulk…

High Energy Physics - Theory · Physics 2023-11-22 Mohamed M. Anber , Nakarin Lohitsiri , Tin Sulejmanpasic

It was recently shown that $3d$ $\mathcal{N}=1$ supersymmetric Wess-Zumino models can be studied in the $\epsilon$-expansion by analytically continuing the number of fermionic degrees of freedom to be half-integer. In this work we study the…

High Energy Physics - Theory · Physics 2024-07-19 Yacov-Nir Breitstein , Adar Sharon

Effective quantum field theoretical continuum models for graphene are investigated. The models include a complex scalar field and a vector gauge field. Different gauge theories are considered and their gap patterns for the scalar, vector,…

Materials Science · Physics 2011-05-27 O. Oliveira , C. E. Cordeiro , A. Delfino , W. de Paula , T. Frederico

Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables. Owing to…

High Energy Physics - Theory · Physics 2009-11-11 Laurent Nottale , Marie-Noëlle Célérier , Thierry Lehner

In this work there are proposed several new 6D brane worlds based on exact topological solutions to the vortex equations for the Abelian Higgs model, with suitable boundary conditions and symmetry breaking potentials similar to the mexican…

High Energy Physics - Theory · Physics 2010-02-22 Rafael Torrealba

In the axial Ward identity of lattice QED we show that in the limit of infinite fermion mass m the pseudoscalar density term exactly cancels the Adler-Bell-Jackiw anomaly. Using this result we calculate the U(1) axial anomaly in a…

High Energy Physics - Lattice · Physics 2015-06-25 H. Banerjee , Asit K. De

We study charged massless fermionic perturbations in the background of $4$-dimensional linear dilaton black holes in Einstein-Maxwell-dilaton theory with double Liouville-type potentials. We present the analytical fermionic quasinormal…

High Energy Physics - Theory · Physics 2021-02-09 İzzet Sakalli , Gülnihal Tokgöz Hyusein