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In a traditional gauge theory, the matter fields \phi^a and the gauge fields A^c_\mu are fundamental objects of the theory. The traditional gauge field is similar to the connection coefficient in the Riemannian geometry covariant…

High Energy Physics - Theory · Physics 2008-06-11 Mario Serna , Kevin Cahill

A manifestly covariant treatment of the free quantum eletromagnetic field, in a linear covariant gauge, is implemented employing the Schwinger's Variational Principle and the B-field formalism. It is also discussed the abelian Proca's model…

High Energy Physics - Theory · Physics 2009-11-11 C. A. M. de Melo , B. M. Pimentel , P. J. Pompeia

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

High Energy Physics - Theory · Physics 2015-06-22 Olaf Hohm , Barton Zwiebach

A nonlocal mass operator can be consistently set in local form through the introduction of a set of additional fields with geometrical appropriated properties. A local and polynomial gauge invariant action is thus identified. Equations…

High Energy Physics - Theory · Physics 2020-05-13 A. R. de Sá , M. A. L. Capri , V. E. R. Lemes

We reconsider a scenario in which photons and other gauge fields appear as the composite vector bosons made of the fermion pairs that may happen with or without spontaneous violation of Lorentz invariance. The class of composite models for…

High Energy Physics - Phenomenology · Physics 2021-04-14 J. L. Chkareuli

The gauge invariant loop variable formalism and old covariant formalism for bosonic open string theory are compared in this paper. It is expected that for the free theory, after gauge fixing, the loop variable fields can be mapped to those…

High Energy Physics - Theory · Physics 2009-11-11 B. Sathiapalan

A non-gauge dynamical system depending on parameters is considered. It is shown that these parameters can have such values that corresponding canonically quantized theory will be gauge invariant. The equations allowing to find these values…

High Energy Physics - Theory · Physics 2009-10-28 I. L. Buchbinder , V. D. Pershin , G. B. Toder

On the lattice some of the salient features of pure gauge theories and of gauge theories with fermions in complex representations of the gauge group seem to be lost. These features can be recovered by considering part of the theory in the…

High Energy Physics - Lattice · Physics 2009-10-22 M. Goeckeler , A. S. Kronfeld , G. Schierholz , U. -J. Wiese

In this paper we introduce the axial gauge field to the framework of the quantum kinetic theory with vector gauge field in the massless limit. Treating axial-gauge field on an equal footing with the vector-gauge field, we construct a…

High Energy Physics - Phenomenology · Physics 2022-02-02 Zhou Chen , Shu Lin

Gauge theories can be described by assigning a vector space V(x) to each space time point x. A common set of complex numbers, C, is usually assumed to be the set of scalars for all the V{x}. This is expanded here to assign a separate set of…

Mathematical Physics · Physics 2011-07-11 Paul Benioff

Covariant forms are given to a gauge theory of massive tensor field. This is accomplished by introducing another auxiliary field of scalar type to the system composed of a symmetric tensor field and an auxiliary field of vector type. The…

High Energy Physics - Theory · Physics 2009-10-30 Shinji Hamamoto

We elucidate some exact relations between light-cone and covariant string field theories on the basis of the homological perturbation lemma for $A_{\infty }$. The covariant string field splits into the light-cone string field and trivial…

High Energy Physics - Theory · Physics 2019-05-22 Hiroaki Matsunaga

We derive for generally covariant theories the generic dependency of observables on the original fields, corresponding to coordinate-dependent gauge fixings. This gauge choice is equivalent to a choice of intrinsically defined coordinates…

General Relativity and Quantum Cosmology · Physics 2009-10-29 J. M. Pons , D. C. Salisbury , K. A. Sundermeyer

We discuss in detail how string-inspired lineal gravity can be formulated as a gauge theory based on the centrally extended Poincar\'e group in $(1+1)$ dimensions. Matter couplings are constructed in a gauge invariant fashion, both for…

High Energy Physics - Theory · Physics 2009-10-22 Daniel Cangemi , Roman Jackiw

It was argued that there are two different descriptions of the effective Lagrangian of gauge fields on D-branes by non-commutative gauge theory and by ordinary gauge theory in the presence of a constant B field background. In the case of…

High Energy Physics - Theory · Physics 2009-10-31 Yuji Okawa , Seiji Terashima

The gauge theory is the most important type of the field theory, in which the interactions of the elementary particles are described by the exchange of the gauge bosons.In this article, the gauge theory is reexamined as geometry of the…

General Physics · Physics 2016-11-29 Kozo Koizumi

The Poisson gauge algebra is a semi-classical limit of complete non-commutative gauge algebra. In the present work we formulate the Poisson gauge theory which is a dynamical field theoretical model having the Poisson gauge algebra as a…

High Energy Physics - Theory · Physics 2021-09-08 Vladislav G. Kupriyanov

An appropriate field configuration in non-polynomial closed string field theory is shown to correspond to a general off-shell field configuration in low energy effective field theory. A set of string field theoretic symmetries that act on…

High Energy Physics - Theory · Physics 2009-09-15 Debashis Ghoshal , Ashoke Sen

We propose a generalization of the stochastic gauge fixing procedure for the stochastic quantization of gauge theories where not only the drift term of the stochastic process is changed but also the Wiener process itself. All gauge…

High Energy Physics - Theory · Physics 2009-10-30 Helmuth Huffel , Gerald Kelnhofer

The covariant canonical method of quantization based on the De Donder-Weyl covariant canonical formalism is used to formulate a world-sheet covariant quantization of bosonic strings. To provide the consistency with the standard…

High Energy Physics - Theory · Physics 2009-01-07 H. Nikolic