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We analyze the Schwinger model on an infinite lattice using the continuum definition of the fermion determinant and a linear interpolation of the lattice gauge fields. The possible class of interpolations for the gauge fields, compatible…

High Energy Physics - Lattice · Physics 2009-10-28 Christof Gattringer

In previous work we have presented scheme-independent calculations of physical properties of operators at a conformally invariant infrared fixed point in an asymptotically free gauge theory with gauge group $G$ and $N_f$ fermions in a…

High Energy Physics - Theory · Physics 2018-11-14 Thomas A. Ryttov , Robert Shrock

In this work we present symmetry transformations relating bosons to fermions which cannot be represented as a supersymmetric algebra. We present a symmetry transformation relating a complex scalar and a fermion in four dimensions and…

High Energy Physics - Theory · Physics 2021-01-18 Vaibhav Wasnik

A first-order gauge invariant formulation for the two-dimensional quantum rigid rotor is long known in the theoretical physics community as an isolated peculiar model. Parallel to that fact, the longstanding constraints abelianization…

High Energy Physics - Theory · Physics 2019-11-18 Suzicleide L. de Oliveira , Camila M. B. Santos , Ronaldo Thibes

We present a new method for regularizing chiral theories on the lattice. The arbitrariness in the regularization is used in order to decouple massless replica fermions. A continuum limit with only one fermion is obtained in perturbation…

High Energy Physics - Lattice · Physics 2009-10-22 J. L. Alonso , Ph. Boucaud , J. L. Cortes , F. Lesmes , E. Rivas

We calculate the renormalization constants (RCs) of vector, axial, vector scalar, pseudoscalar and tensor quark operators of the overlap valence fermion, on the 11 gauge ensembles with dynamical fermion using either Domain wall…

High Energy Physics - Lattice · Physics 2021-12-08 Fangcheng He , Yi-Bo Yang

We study new renormalization-group invariant quantities of soft supersymmetry breaking parameters other than the ratio of gaugino mass to gauge coupling squared by using the spurion method. The obtained invariants are useful to probe…

High Energy Physics - Phenomenology · Physics 2008-11-26 Tatsuo Kobayashi , Koichi Yoshioka

A new way to write the massive scalar and fermion propagators on a background of a weak gauge field is presented. They are written in a form that is manifestly gauge-covariant up to several additional terms that can be written as boundary…

High Energy Physics - Theory · Physics 2016-02-03 Adam Latosiński

We present a non--perturbative study of the (1+1)--dimensional massless Thirring model by using path integral methods. The regularization ambiguities -coming from the computation of the fermionic determinant- allow to find new solution…

High Energy Physics - Theory · Physics 2009-11-10 R. Casana

We propose a setup to realize time-reversal invariant topological superconductors in quantum wires, proximity coupled to conventional superconductors. We consider a model of quantum wire with strong spin-orbit coupling and proximity…

Strongly Correlated Electrons · Physics 2013-09-17 Anna Keselman , Liang Fu , Ady Stern , Erez Berg

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

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach. Perturbative properties of the model…

High Energy Physics - Theory · Physics 2013-03-11 Jean Alexandre , Ariadni Vergou

1. We compare Monte Carlo results with analytic predictions for the fermion condensate, in the massive one-flavour Schwinger model. 2. We illustrate on the Schwinger model how to facilitate transitions between topological sectors by a…

High Energy Physics - Lattice · Physics 2009-10-30 Ph. de Forcrand , J. E. Hetrick , T. Takaishi , A. J. van der Sijs

We discuss the Hamiltonian formulation of the Schwinger proper-time method of calculating Green functions in gauge theories. Instead of calculating Feynman diagrams, we solve the corresponding Dyson-Schwinger equations. We express the…

High Energy Physics - Phenomenology · Physics 2011-07-19 George Siopsis

The divergences appearing in the 3+1 dimensional fermion-loop calculations are often regulated by smearing the vertices in a covariant manner. Performing a parallel light-front calculation, we corroborate the similarity between the…

High Energy Physics - Phenomenology · Physics 2009-10-31 Bernard L. G. Bakker , Ho-Meoyng Choi , Chueng-Ryong Ji

We investigate a recent proposal to construct chiral gauge theories on the lattice using domain wall fermions. We restrict ourselves to the finite volume case, in which two domain walls are present, with modes of opposite chirality on each…

High Energy Physics - Lattice · Physics 2009-10-22 Maarten F. L. Golterman , Karl Jansen , Donald N. Petcher , Jeroen C. Vink

A massive gauge invariant formulation for scalar ($\phi$) and antisymmetric ($C_{mnp}$) fields with a topological coupling, which provides a mass for the axion field, is considered. The dual and local equivalence with the non-gauge…

High Energy Physics - Theory · Physics 2014-11-18 Pio Jose Arias , Adel Khoudeir

We present a method for formulating gauge theories of chiral fermions in lattice field theory. The method makes use of a Wilson mass to remove doublers. Gauge invariance is then restored by modifying the theory in two ways: the magnitude of…

High Energy Physics - Lattice · Physics 2009-10-28 Geoffrey T. Bodwin

The general gauge-invariant photoproduction formalism given by Haberzettl is applied to kaon photoproduction off the nucleon at the tree level, with form factors describing composite nucleons. We demonstrate that, in contrast to Ohta's…

Nuclear Theory · Physics 2011-04-15 H. Haberzettl , C. Bennhold , T. Mart , T. Feuster

The naive perturbation expansion for many-fermion systems is infrared divergent. One can remove these divergences by introducing counterterms. To do this without changing the model, one has to solve an inversion equation. We call this…

Condensed Matter · Physics 2007-05-23 Manfred Salmhofer
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