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By dimensional reduction of a massive BF theory, a new topological field theory is constructed in (2+1) dimensions. Two different topological terms, one involving a scalar and a Kalb-Ramond fields and another one equivalent to the…

High Energy Physics - Theory · Physics 2019-08-17 Deusdedit M. Medeiros , R. R. Landim , C. A. S. Almeida

The standard formulation of a massive Abelian vector field in $2+1$ dimensions involves a Maxwell kinetic term plus a Chern-Simons mass term; in its place we consider a Chern-Simons kinetic term plus a Stuekelberg mass term. In this latter…

High Energy Physics - Theory · Physics 2009-10-28 F. A. Dilkes , D. G. C. McKeon

We present a class of mappings between the fields of the Cremmer-Sherk and pure BF models in 4D. These mappings are established by two distinct procedures. First a mapping of their actions is produced iteratively resulting in an expansion…

High Energy Physics - Theory · Physics 2016-08-16 O. S. Ventura , R. L. P. G. Amaral , J. V. Costa , L. O. Buffon , V. E. R. Lemes

We study the topological mass generation in the 4 dimensional nonabelian gauge theory, which is the extension of the Allen $et$ $al.$'s work in the abelian theory. It is crucial to introduce a one form auxiliary field in constructing the…

High Energy Physics - Theory · Physics 2009-10-28 Dae Sung Hwang , Chang-Yeong Lee

A well-defined local non-Abelian gauge connection involving a rank-p gauge B-field was introduced a decade ago. This was achieved by introducing doublet groups and doublet-assembled connections that can act on a doublet of matter fields,…

High Energy Physics - Theory · Physics 2015-05-18 M. Botta Cantcheff , J. A. Helayel-Neto

We present a class of mappings between models with topological mass mechanism and purely topological models in arbitrary dimensions. These mappings are established by directly mapping the fields of one model in terms of the fields of the…

High Energy Physics - Theory · Physics 2009-11-11 R. L. P. G. Amaral , O. S. Ventura , L. O. Buffon , J V Costa

Using the parent Lagrangian method together with a dimensional reduction from $D$ to $(D-1)$ dimensions we construct dual theories for massive spin two fields in arbitrary dimensions in terms of a mixed symmetry tensor $T_{A[A_{1}A_{2}...…

High Energy Physics - Theory · Physics 2008-11-26 A. Khoudeir , R. Montemayor , Luis F. Urrutia

With the goal of constructing the supersymmetric action for all fields, massless and massive, obtained by Kaluza-Klein compactification from type II theory or M-theory in a closed form, we embed the (Abelian) tensor hierarchy of p-forms in…

High Energy Physics - Theory · Physics 2016-04-20 Katrin Becker , Melanie Becker , William D Linch , Daniel Robbins

This work extends to the D-dimensional space-time the topological mass generation mechanism of the nonabelian BF model in four dimensions. In order to construct the gauge invariant nonabelian kinetic terms for a (D-2)-form B and a 1-form A,…

High Energy Physics - Theory · Physics 2009-10-31 R. R. Landim , C. A. S. Almeida

It is proposed a new mechanism for the phenomenon of topological mass generation in three spacetime dimensions as the result of the interference of two opposite massless chiral modes. This mechanism, already used to produce the massive…

High Energy Physics - Theory · Physics 2007-05-23 Anderson Ilha , Clovis Wotzasek

We analyze the gauge symmetry of a topological mass generating action in four dimensions which contains both a vector and a second rank antisymmetric tensor fields. In the Abelian case, this system induces an effective mass for the vector…

High Energy Physics - Theory · Physics 2009-10-30 Chang-Yeong Lee , Dong Won Lee

Following a novel approach, all known basic mass generation mechanisms consistent with an exact abelian U(1) gauge symmetry are shown to be related through an intricate network of dualities whatever the spacetime dimension. This equivalence…

High Energy Physics - Theory · Physics 2020-01-08 Bruno Bertrand , Jan Govaerts

We prove that there is no power-counting renormalizable nonabelian generalization of the abelian topological mass mechanism in four dimensions. The argument is based on the technique of consistent deformations of the master equation…

High Energy Physics - Theory · Physics 2009-10-30 M. Henneaux , V. E. R. Lemes , C. A. G. Sasaki , S. P. Sorella , O. S. Ventura , L. C. Q. Vilar

The effective action of string theory in three dimensions is investigated, incorporating the Lorentz and gauge Chern-Simons terms in the definition of the Kalb-Ramond axion field strength. Since in three dimensions any three-form is…

High Energy Physics - Theory · Physics 2009-10-22 Nemanja Kaloper

A Higgs mechanism for Abelian theories over non-trivial background flat connections is proposed. It is found that the mass generated for the spin 1 excitation is the same as the one obtained from the standard Higgs mechanism over trivial…

High Energy Physics - Theory · Physics 2008-02-03 A. De Castro , A. Restuccia

Schwinger's mechanism for mass generation relies on topological structures of a 2-dimensional gauge theory. In the same manner, corresponding 4-dimensional topological entities give rise to topological mass generation in four dimensions.

High Energy Physics - Theory · Physics 2008-11-26 Gia Dvali , R. Jackiw , So - Young Pi

Starting from a recently proposed abelian topological model in (2+1) dimensions, we use the method of the consistent deformations to prove that a topologically massive model involving the Kalb-Ramond two form field does not admit a…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Medeiros , R. R. Landim , C. A. S. Almeida

Starting from a recently proposed Abelian topological model in (2+1) dimensions, which involve the Kalb-Ramond two form field, we study a non-Abelian generalization of the model. An obstruction for generalization is detected. However we…

High Energy Physics - Theory · Physics 2009-11-07 D. M. Medeiros , R. R. Landim , C. A. S. Almeida

We study topologically massive (B \wedge F) Abelian and non-Abelian gauge theories in four dimensions, and reduce them to three dimensions by assuming that the fields do not propagate in one of the spatial directions. For certain gauge…

High Energy Physics - Theory · Physics 2015-07-22 R. Kumar , Amitabha Lahiri

The restriction of space-time dimensions to "2+1" leads us to a novel quantum field theory which has the Chern-Simons term in its action. This term changes the nature of gauge interaction by giving a so-called topological mass to a gauge…

High Energy Physics - Theory · Physics 2007-05-23 Toyoki Matsuyama , Hideko Nagahiro
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