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Related papers: Topological gauge fixing

200 papers

The most general covariant gauge fixing Lagrangian is considered for a spin-two gauge theory in the context of the Faddeev-Popov procedure. In general, five parameters characterize this gauge fixing. Certain limiting values for these…

High Energy Physics - Theory · Physics 2024-12-31 F. T. Brandt , J. Frenkel , D. G. C. McKeon

It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman

Fixing a gauge in the non-perturbative domain of Yang-Mills theory is a non-trivial problem due to the presence of Gribov copies. In particular, there are different gauges in the non-perturbative regime which all correspond to the same…

High Energy Physics - Lattice · Physics 2009-01-27 Axel Maas

For the Lorentz gauge the influence of Gribov copies on the fermion propagator is investigated in quenched lattice compact QED. In the Coulomb phase zero-momentum modes of the gauge fields are shown to be the main reason for a significant…

High Energy Physics - Lattice · Physics 2015-06-25 I. L. Bogolubsky , V. K. Mitrjushkin , M. Müller-Preussker , P. Peter , N. V. Zverev

We make a detailed analysis on validity of gauge-fixing conditions and the structure of propagators in the Wess-Zumino-Witten-type open superstring field theory. First, we generalize the gauge-fixing conditions considered in JHEP 03 (2012)…

High Energy Physics - Theory · Physics 2013-02-06 Shingo Torii

In this paper, spinor and vector decomposition of SU(2) gauge potential are presented and their equivalence is constructed using a simply proposal. We also obtain the action of Faddeev nonlinear O(3) sigma model from the SU(2) massive gauge…

High Energy Physics - Theory · Physics 2009-03-19 Yi-Shi Duan , Ji-Rong Ren , Ran Li

We construct and study a new topological field theory in three dimensions. It is a hybrid between Chern-Simons and Rozansky-Witten theory and can be regarded as a topologically-twisted version of the N=4 d=3 supersymmetric gauge theory…

High Energy Physics - Theory · Physics 2015-05-13 Anton Kapustin , Natalia Saulina

We study two-dimensional integrable field theories from the viewpoint of the four-dimensional Chern-Simons-type gauge theory introduced recently. The integrable field theories are realized as effective theories for the four-dimensional…

High Energy Physics - Theory · Physics 2019-08-08 Kevin Costello , Masahito Yamazaki

A brief review on the progress made in the study of Chern-Simons gauge theory since its relation to knot theory was discovered ten years ago is presented. Emphasis is made on the analysis of the perturbative study of the theory and its…

High Energy Physics - Theory · Physics 2009-10-31 J. M. F. Labastida

The Yang-Mills-Chern-Simons theory in three-dimensional Minkowski space-time is studied in a gauge-fixing scheme which interpolates between the covariant gauge and light-cone gauge, the interpolating gauge-fixing. The ultraviolet finiteness…

High Energy Physics - Theory · Physics 2024-10-02 Daniel O. R. Azevedo , Oswaldo M. Del Cima , Thadeu S. Dias , Emílio D. Pereira

We show how a spontaneously broken gauge theory of fermions endowed with a composite scalar multiplet becomes naturally anomaly-free, and yet describes the correct couplings of the pion to two gauge fields and to leptons: the first coupling…

High Energy Physics - Phenomenology · Physics 2009-10-22 B. Machet

We discuss topological theories, arising from the general $\mathcal{N}=2$ twisted gauge theories. We initiate a program of their study in the Gromov-Witten paradigm. We re-examine the low-energy effective abelian theory in the presence of…

High Energy Physics - Theory · Physics 2017-09-07 Andrei Losev , Nikita Nekrasov , Samson Shatashvili

The topological supersymmetry of the pure Chern-Simons model in three dimensions is established in the case where the theory is defined in the axial gauge.

High Energy Physics - Theory · Physics 2009-10-22 A. Brandhuber , M. Langer , M. Schweda , O. Piguet , S. P. Sorella

In this paper, we reformulate the Schrodinger equation in gauge-theoretic terms. Starting from the Madelung representation, we rewrite the conserved probability-current using gauge fields, namely a one-form gauge field in the…

High Energy Physics - Theory · Physics 2026-04-30 Dmitry S. Ageev , Vladimir A. Bykov

We study the relation between the frame-like and metric-like formulation of higher-spin gauge theories in three space-time dimensions. We concentrate on the theory that is described by an SL(3) x SL(3) Chern-Simons theory in the frame-like…

High Energy Physics - Theory · Physics 2015-06-22 Stefan Fredenhagen , Pan Kessel

Topological phases of matter can be classified by using Clifford algebras through Bott periodicity. We consider effective topological field theories of quantum Hall systems and topological insulators that are Chern-Simons and BF field…

Strongly Correlated Electrons · Physics 2017-09-11 Özgür Açık , Ümit Ertem

We study two-dimensional topological gauge theories with gauge group equal to the symmetric group $S_n$ and their string theory duals. The simplest such theory is the topological quantum field theory of principal $S_n$ fiber bundles. Its…

High Energy Physics - Theory · Physics 2025-01-30 Lior Benizri , Jan Troost

We derive expressions for various correlators of the gauge field and find the propagators in Hamiltonian dynamics which employs a new gauge $A^\tau=0$. This gauge is a part of the wedge form of relativistic dynamics suggested earlier as a…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. Makhlin

We find the canonical and Belinfante energy-momentum tensors and their nonzero traces. We note that the dilatation symmetry is broken and the divergence of the dilatation current is proportional to the topological mass of the gauge field.…

Mathematical Physics · Physics 2011-12-30 S. I. Kruglov

We study the behavior of the pole of the fermion propagator, in QED in $n$-dimensions, in a general class of gauges which interpolate between the covariant, the axial and the Coulomb gauges. We use Nielsen identities, following from the…

High Energy Physics - Theory · Physics 2015-06-16 Ashok K. Das , J. Frenkel