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It is shown that the Topological Massive and ``Self-dual'' theories, which are known to provide locally equivalent descriptions of spin 1 theories in 2+1 dimensions, have different global properties when formulated over topologically…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Arias , A. Restuccia

It is well known that three-dimensional Einstein's gravity without matter is topological, i.e. it does not have local propagating degrees of freedom. The main result of this work is to show that dynamics in the gravitational sector can be…

General Relativity and Quantum Cosmology · Physics 2020-01-31 Giandomenico Palumbo

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

We present a "Chern-Simons-like" action for the "general massive gravity" model propagating two spin-2 modes with independent masses in three spacetime dimensions (3D), and we use it to find a simple Hamiltonian form of this model. The…

High Energy Physics - Theory · Physics 2015-06-05 Olaf Hohm , Alasdair Routh , Paul K. Townsend , Baocheng Zhang

Using Bloch-Nordsieck approximation fermion propagator in 3-dimensional gauge theory with topological mass is studied. Infrared divergence of Chern-Simon term is soft,which modifies anomalous dimension. In unquenched QCD with 2-component…

High Energy Physics - Theory · Physics 2017-08-23 Yuichi Hoshino

We investigate a sequence of quadratic topological terms of the Chern-Simons type in different spacetime dimensions, related by dimensional compactification and sharing the properties of topological mass generation and statistical…

High Energy Physics - Theory · Physics 2009-11-07 J. Barcelos-Neto , E. C. Marino

Partially massless theory in three dimensions is revisited and its relationship with the self-dual massive gravity is considered. The only mode of the partially massless theory is shown explicitly through an action for a scalar field on…

High Energy Physics - Theory · Physics 2022-05-04 Daniel Galviz , Adel Khoudeir

We define and study various tensorial generalizations of the Gross-Neveu model in two dimensions, that is, models with four-fermion interactions and $G^3$ symmetry, where we take either $G=U(N)$ or $G=O(N)$. Such models can also be viewed…

High Energy Physics - Theory · Physics 2018-10-15 Dario Benedetti , Sylvain Carrozza , Razvan Gurau , Alessandro Sfondrini

Employing the Foldy-Wouthuysen transformation it is demonstrated straightforwardly that the first and second Chern numbers are equal to the coefficients of the 2+1 and 4+1 dimensional Chern-Simons actions which are generated by the massive…

Mathematical Physics · Physics 2012-02-07 O. F. Dayi , M. Elbistan , E. Yunt

Topological interactions will be generated in theories with compact extra dimensions where fermionic chiral zero modes have different localizations. This is the case in many warped extra dimension models where the right-handed top quark is…

High Energy Physics - Phenomenology · Physics 2010-02-23 Yang Bai , Gustavo Burdman , Christopher T. Hill

I discuss dynamical generation of neutrino masses in unconventional scenarios where the background space-time geometry plays a crucial role. I discuss two types of backgrounds: (i) Lorentz Violating and (ii) Geometries with Torsion. In the…

High Energy Physics - Phenomenology · Physics 2015-06-05 Nick E. Mavromatos

We consider the chiral anomaly for systems with a wide class of Hermitian Dirac operators ${Q}$ in 4D Euclidean spacetime. We suppose that $ Q$ is not necessarily linear in derivatives and also that it contains a coordinate inhomogeneity…

High Energy Physics - Theory · Physics 2025-11-26 Praveen D. Xavier , M. A. Zubkov

Abelian topologically massive gauge theories (TMGT) provide a topological mechanism to generate mass for a bosonic p-tensor field in any spacetime dimension. These theories include the 2+1 dimensional Maxwell-Chern-Simons and 3+1…

High Energy Physics - Theory · Physics 2008-11-26 Bruno Bertrand , Jan Govaerts

It is well known that a physical medium that sets a Lorentz frame generates a Lorentz-breaking gap for a graviton. We examine such generated "mass" terms in the presence of a fluid medium whose ground state spontaneously breaks spatial…

High Energy Physics - Theory · Physics 2018-06-14 Gregory Gabadadze , Daniel Older

Using a simple three dimensional lattice four-fermion model we argue that massless fermions can become massive due to interactions without the need for any spontaneous symmetry breaking. Using large scale Monte Carlo calculations within our…

High Energy Physics - Lattice · Physics 2016-04-27 Venkitesh Ayyar , Shailesh Chandrasekharan

We review the similarities between the effective chiral lagrangrian, relevant for low-energy strong interactions, and the Einstein-Hilbert action. We use these analogies to suggest a specific mechanism whereby gravitons would emerge as…

High Energy Physics - Theory · Physics 2012-09-17 Jorge Alfaro , Domènec Espriu , Daniel Puigdomènech

A gauge invariant formulation for the massive axion is considered. The axion acquires mass through a topological term which couples a (pseudo)scalar and a third rank antisymmetric tensor. Duality, local and canonical equivalences with the…

High Energy Physics - Theory · Physics 2009-10-31 P. J. Arias , A. Khoudeir

Recently it has been suggested that junctions between materials with different parity violating properties would be characterized by diffusion layers, analogous to those in the p-n junction. This remark is amplified by a fuller…

Condensed Matter · Physics 2016-08-31 Mark Burgess , Margaret Carrington

A kinetic theory of vacuum particle creation under the action of an inertial mechanism is constructed within a nonpertrubative dynamical approach. At the semi-phenomenological level, the inertial mechanism corresponds to quantum field…

High Energy Physics - Phenomenology · Physics 2008-12-18 A. V. Filatov , A. V. Prozorkevich , S. A. Smolyansky , V. D. Toneev

I review a (3+1)-dimensional, string-inspired cosmological model with gravitational anomalies (of Chern-Simons (CS) type) at early epochs, and a totally-antisymmetric torsion, dual to a massless axion-like field ("gravitational axion"),…

High Energy Physics - Theory · Physics 2022-12-29 Nick E. Mavromatos