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As a first step towards a nonperturbative investigation of the gauge-fixing (Rome) approach to lattice chiral gauge theories we study a U(1) model with an action that includes a local gauge-fixing term and a mass counterterm for the gauge…

高能物理 - 格点 · 物理学 2009-10-30 Wolfgang Bock , Maarten Golterman , Yigal Shamir

We have verified various proposals that were suggested in our last paper concerning the continuum limit of a compact formulation of the lattice U(1) pure gauge theory in 4 dimensions using a nonperturbative gauge-fixed regularization. Our…

高能物理 - 格点 · 物理学 2007-05-23 Asit K. De , Tilak Sinha

We investigate the continuum limit of a compact formulation of the lattice U(1) gauge theory in 4 dimensions using a nonperturbative gauge-fixed regularization. We find clear evidence of a continuous phase transition in the pure gauge…

高能物理 - 格点 · 物理学 2015-06-25 Subhasish Basak , Asit K De , Tilak Sinha

We consider a lattice discretization of a covariantly gauge-fixed abelian gauge theory. The gauge fixing is part of the action defining the theory, and we study the phase diagram in detail. As there is no BRST symmetry on the lattice,…

高能物理 - 格点 · 物理学 2009-10-31 Wolfgang Bock , Maarten F. L. Golterman , Ka Chun Leung , Yigal Shamir

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…

高能物理 - 格点 · 物理学 2016-08-25 Wolfgang Bock , Maarten Golterman , Yigal Shamir

Gauge fixing is a useful tool to simplify calculations. It is also valuable to combine different methods, in particular lattice and continuum methods. However, beyond perturbation theory the Gribov-Singer ambiguity requires further gauge…

高能物理 - 格点 · 物理学 2011-03-23 Axel Maas

We review the status of our recent work on the gauge-fixing approach to lattice chiral gauge theories. New numerical results in the reduced version of a model with a U(1) gauge symmetry are presented which strongly indicate that the…

高能物理 - 格点 · 物理学 2007-05-23 Wolfgang Bock , Maarten F. L. Golterman , Yigal Shamir

We discuss a method for regularizing chiral gauge theories. The idea is to formulate the gauge fields on the lattice, while the fermion determinant is regularized and computed in the continuum. A simple effective action emerges which lends…

高能物理 - 格点 · 物理学 2007-05-23 V. Bornyakov , G. Schierholz , A. Thimm

We report on recent progress with the definition of lattice chiral gauge theories, using a lattice action that includes a discretized Lorentz gauge-fixing term. This gauge-fixing term has a unique global minimum, and allows us to use…

高能物理 - 格点 · 物理学 2009-10-30 W. Bock , M. Golterman , Y. Shamir

Lattice regularizations are pivotal in the non-perturbative quantization of gauge field theories. Wilson's proposal to employ group-valued link fields simplifies the regularization of gauge fields in principal fiber bundles, preserving…

广义相对论与量子宇宙学 · 物理学 2023-11-02 Thorsten Lang , Susanne Schander

We report on recent progress with the gauge-fixing approach to lattice chiral gauge theories. The bosonic sector of the gauge-fixing approach is studied with fully dynamical U(1) gauge fields. We demonstrate that it is important to…

高能物理 - 格点 · 物理学 2015-06-25 Wolfgang Bock , Maarten F. L. Golterman , Ka Chun Leung , Yigal Shamir

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. We aim at…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

Feynman rules for the vacuum amplitude of fermions coupled to external gauge and Higgs fields in a domain wall lattice model are derived using time--dependent perturbation theory. They have a clear and simple structure corresponding to…

高能物理 - 理论 · 物理学 2016-09-06 S. Randjbar-Daemi , J. Strathdee

We study the critical behavior of three-dimensional (3D) lattice Abelian-Higgs (AH) gauge models with noncompact gauge variables and multicomponent complex scalar fields, along the transition line between the Coulomb and Higgs phases.…

统计力学 · 物理学 2024-04-16 Claudio Bonati , Andrea Pelissetto , Ettore Vicari

We discuss two proposals for a non-perturbative formulation of chiral gauge theories on the lattice. In both cases gauge symmetry is broken by the regularization. We aim at a dynamical restoration of symmetry. If the gauge symmetry breaking…

高能物理 - 格点 · 物理学 2011-04-20 Wolfgang Bock

We investigate a proposal for the construction of models with chiral fermions on the lattice using staggered fermions. In this approach the gauge invariance is broken by the coupling of the staggered fermions to the gauge fields. Motivated…

高能物理 - 格点 · 物理学 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

We discuss a new approach for putting gauge theories on the lattice. The gauge fields are defined on the lattice only, but are interpolated to the interior of the lattice cells, where they couple to continuum fermions. The purpose of this…

高能物理 - 格点 · 物理学 2007-05-23 Christof Gattringer

The chiral phase transition induced by a charged scalar field is investigated numerically in a lattice fermion-gauge-scalar model with U(1) gauge symmetry, proposed recently as a model for dynamical fermion mass generation. For very strong…

高能物理 - 格点 · 物理学 2009-10-28 W. Franzki , C. Frick , J. Jersak , X. Q. Luo

An extensive study of the compact $U(1)$ lattice gauge theory with a higher derivative gauge-fixing term and a suitable counter-term has been undertaken to determine the nature of the possible continuum limits for a wide range of the…

高能物理 - 格点 · 物理学 2017-11-22 Asit K. De , Mugdha Sarkar

We propose a new point of view to gauge theories based on taking the action of symmetry transformations directly on the coordinates of space. Via this approach the gauge fields are not introduced at the first step, and they can be…

高能物理 - 理论 · 物理学 2011-09-13 Amir H. Fatollahi
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