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The spin-1 correlators are analysed in this talk through a large NC resonance theory. The matching to perturbative QCD and the first terms in the OPE constrains the hadronic parameters. A further sum-rule analysis shows the wider range of…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. J. Sanz-Cillero

Calculations for a set of nuclear multifragmentation data are made using a Canonical and a Grand Canonical Model. The physics assumptions are identical but the Canonical Model has an exact number of particles, whereas, the Grand Canonical…

Nuclear Theory · Physics 2009-11-07 C. B. Das , S. Das Gupta , X. D. Liu , M. B. Tsang

This thesis is dedicated to the study of theories of massive gravity. The formulation of higher spin gauge field theories, along with a Chern-Simons (CS) like term for fields of higher spins is presented. Through this setup, general…

General Relativity and Quantum Cosmology · Physics 2021-01-26 Lokesh Mishra

I introduce (Extended) Proca-Nuevo, a non-linear theory of a massive spin-1 field enjoying a non-linearly realized constraint. I will provide a covariantization scheme that allows for consistent, ghost-free cosmological solutions,…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Victor Pozsgay

Three dimensional (abelian) gauged massive Thirring model is bosonized in the large fermion mass limit. A further integration of the gauge field results in a non-local theory. A truncated version of that is the Maxwell Chern Simons (MCS)…

High Energy Physics - Theory · Physics 2009-10-31 Subir Ghosh

The spin supplementary conditions are constraints on spin degrees of freedom in classical relativity which restricts physical degrees of freedom to rotations. It is argued that the equivalent constraints in quantum field theory are the…

High Energy Physics - Theory · Physics 2023-07-11 Jung-Wook Kim , Jan Steinhoff

A "Master" gauge theory is constructed in 2+1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-Simons, Maxwell-Proca and Maxwell-Chern-Simons -Proca models are…

High Energy Physics - Theory · Physics 2009-10-31 Subir Ghosh

We consider the Dirac equation in 1+1 space-time dimension with vector, scalar and pseudo-scalar coupling. In the traditional spin (or pseudo-spin) symmetry, the difference between (or sum of) the scalar and vector potentials is a constant.…

Nuclear Theory · Physics 2011-06-16 A. D. Alhaidari

We propose a new class of Proca interactions that enjoy a non-trivial constraint and hence propagates the correct number of degrees of freedom for a healthy massive spin-1 field. We show that the scattering amplitudes always differ from…

High Energy Physics - Theory · Physics 2020-10-14 Claudia de Rham , Victor Pozsgay

We propose modified action which is equivalent to N=1 Green-Schwarz superstring and which allows one to realize the supplementation trick [26]. Fermionic first and second class constraints are covariantly separated, the first class…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Deriglazov

The equivalence between a higher derivative extension of Maxwell-Chern-Simons Proca model and some gauge invariant theories from the point of view of the Hamiltonian path integral quantization in the framework of gauge-unfixing approach is…

High Energy Physics - Theory · Physics 2015-10-09 S. C. Sararu

We construct an effective cosmological spin-foam model for a (2+1) dimensional spatially flat universe, discretized on a hypercubical lattice, containing both space- and time-like regions. Our starting point is the recently proposed…

General Relativity and Quantum Cosmology · Physics 2025-04-17 Alexander F. Jercher , José Diogo Simão , Sebastian Steinhaus

The fourth order in derivatives New Massive Gravity model NMG, describes a massive spin-2 particle in $D=2+1$. At the linearized level a proof of unitarity necessarily implies that the generalization to higher dimensions includes…

High Energy Physics - Theory · Physics 2020-02-19 E. L. Mendonça , R. Schimidt Bittencourt

We analyse the equivalence between topologically massive gauge theory (TMGT) and different formulations of non-topologically massive gauge theories (NTMGTs) in the canonical approach. The different NTMGTs studied are St\"uckelberg…

High Energy Physics - Theory · Physics 2009-10-31 E. Harikumar , M. Sivakumar

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

We prove the equivalence between two traditional approaches to the classical mechanics of a massive spinning particle in special relativity. One is the spherical top model of Hanson and Regge, recast in a Hamiltonian formulation with…

High Energy Physics - Theory · Physics 2021-09-01 Joon-Hwi Kim , Jung-Wook Kim , Sangmin Lee

As mentioned in the comments, the proposed construction of the canonical quadratic refinement on a mapping torus contains a gap. In addition, the claim in the appendix that the spin cobordism group vanishes in dimensions 4k+3 is incorrect,…

Algebraic Topology · Mathematics 2014-02-19 Samuel Monnier

This review is devoted to the analysis of the mutual consistency of the spin foam and canonical loop quantizations in three and four spacetime dimensions. In the three-dimensional context, where the two approaches are in good agreement, we…

General Relativity and Quantum Cosmology · Physics 2012-08-21 Sergei Alexandrov , Marc Geiller , Karim Noui

We study the effects of interference between the self-dual and anti self-dual massive modes of the linearized Einstein-Chern-Simons topological gravity. The dual models to be used in the interference process are carefully analyzed with…

High Energy Physics - Theory · Physics 2009-11-07 Anderson Ilha , Clovis Wotzasek

We give an example of topological theory whose Hilbert space contains physical objects: the N=2 supersymmetric Lagrangian of spin-one particles moving in D-dimensional space-time equals the Lagrangian of a topological sigma model in a…

High Energy Physics - Theory · Physics 2007-05-23 Romain Attal , Laurent Baulieu