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The constrained Hamiltonian formalism is worked out for the theories where the gauge symmetry parameters are unfree, being restricted by differential equations. The Hamiltonian BFV-BRST embedding is elaborated for this class of gauge…

High Energy Physics - Theory · Physics 2020-01-15 V. A. Abakumova , I. Yu. Karataeva , S. L. Lyakhovich

We present a general model of interacting metric fields with the sum of massless non-interacting spin 2 fields as the linear limit. In the non-interacting limit the model is reduced to a sum of general relativity actions, with the usual…

General Relativity and Quantum Cosmology · Physics 2016-05-03 Idan Talshir

Recently, the construction of ghost-free nonlinear massive spin-2 interactions solved a long outstanding problem in classical field theory. The consistent formulation requires a second rank-two tensor (or metric) and therefore has the form…

General Relativity and Quantum Cosmology · Physics 2014-05-13 Angnis Schmidt-May

We demonstrate that the two (1 + 1)-dimensional (2D) free 1-form Abelian gauge theory provides an interesting field theoretical model for the Hodge theory. The physical symmetries of the theory correspond to all the basic mathematical…

High Energy Physics - Theory · Physics 2008-11-26 R. P. Malik

When an antisymmetric tensor potential is coupled to the field strength of a gauge field via a $B\wedge F$ coupling and a kinetic term for $B$ is included, the gauge field develops an effective mass. The theory can be made invariant under a…

High Energy Physics - Phenomenology · Physics 2016-08-24 Amitabha Lahiri

We analyse completely the BRST cohomology on local functionals for two dimensional sigma models coupled to abelian world sheet gauge fields, including effective bosonic D-string models described by Born-Infeld actions. In particular we…

High Energy Physics - Theory · Physics 2009-10-30 Friedemann Brandt , Joaquim Gomis , Joan Simón

In the framework of augmented superfield approach, we provide the geometrical origin and interpretation for the nilpotent (anti-)BRST charges, (anti-)co-BRST charges and a non-nilpotent bosonic charge. Together, these local and conserved…

High Energy Physics - Theory · Physics 2011-07-19 R. P. Malik

We extend our study of deriving the local gauge invariance with spontaneous symmetry breaking in the context of an effective field theory by considering self-interactions of the scalar field and inclusion of the electromagnetic interaction.…

High Energy Physics - Theory · Physics 2018-12-05 D. Djukanovic , J. Gegelia , Ulf-G. Meißner

I review why we believe the electromagnetic, strong, and weak interactions are gauge theories, and what this implies for the self interactions of the gauge bosons. The modern point of view regarding non-renormalizable effective field…

High Energy Physics - Phenomenology · Physics 2009-10-28 S. Willenbrock

Using the BRST--BV approach, we consider totally symmetric arbitrary integer spin conformal fields propagating in flat space. For such fields, we obtain the ordinary-derivative BRST--BV Lagrangian that is invariant under gauge…

High Energy Physics - Theory · Physics 2016-03-31 R. R. Metsaev

We study gauge and gravitational field theories in which the gauge fixing conditions are imposed as constraints on classical fields. Quantization of fluctuations can be performed in a BRST invariant manner, while the main novelty is that…

High Energy Physics - Theory · Physics 2007-05-23 Gregory Gabadadze , Yanwen Shang

We study conformal field theories describing two massless one-dimensional fields interacting at a single spatial point. The interactions we include are periodic functions of the bosonized fields separately plus a ``magnetic'' interaction…

High Energy Physics - Theory · Physics 2009-07-09 C. G. Callan , I. R. Klebanov , J. M. Maldacena , A. Yegulalp

A path integral with BRST symmetry can be formulated by summing the Gribov-type copies in a very specific way if the functional correspondence between $\tau$ and the gauge parameter $\omega$ defined by $\tau (x) = f( A_{\mu}^{\omega})$ is…

High Energy Physics - Theory · Physics 2009-10-28 Kazuo Fujikawa

We present a BRST symmetric gaugeon formalism for the two-form gauge fields. A set of vector gaugeon fields is introduced as a quantum gauge freedom. One of the gaugeon fields satisfies a higher derivative field equation; this property is…

High Energy Physics - Theory · Physics 2019-12-06 Masataka Aochi , Ryusuke Endo , Hikaru Miura

We describe a method of writing down the exact interacting gauge invariant equations for all the modes of the bosonic open string. It is a generalization of the loop variable approach that was used earlier for the free, and lowest order…

High Energy Physics - Theory · Physics 2007-05-23 B. Sathiapalan

Study of gauge symmetry is carried over the different interacting and noninteracting field theoretical models through a prescription based on lagrangian formulation. It is found that the prescription is capable of testing whether a given…

High Energy Physics - Theory · Physics 2014-04-17 Safia Yasmin , Anisur Rahaman

A definition of soft breaking of BRST symmetry in the field-antifield formalism is proposed, valid for general gauge theories and arbitrary gauge fixing. The Ward identities for the generating functionals of Green's functions are derived,…

High Energy Physics - Theory · Physics 2015-05-30 Peter Lavrov , Olaf Lechtenfeld , Alexander Reshetnyak

The concept of (global) gauge symmetry breaking plays an important role in many areas of physics. Since the corresponding symmetry is a gauge symmetry, its breaking is actually gauge-dependent. Thus, it is possible to design gauges which…

High Energy Physics - Theory · Physics 2012-11-27 Axel Maas

A general field-antifield BV formalism for antisymplectic first class constraints is proposed. It is as general as the corresponding symplectic BFV-BRST formulation and it is demonstrated to be consistent with a previously proposed…

High Energy Physics - Theory · Physics 2019-08-17 Igor Batalin , Robert Marnelius

We work out the description of the gauge symmetry of unimodular gravity in the constrained Hamiltonian formalism. In particular, we demonstrate how the transversality conditions restricting the diffeomorphism parameters emerge from the…

High Energy Physics - Theory · Physics 2022-06-07 I. Yu. Karataeva , S. L. Lyakhovich
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