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Related papers: Covariant path integral for chiral p-forms

200 papers

We study a global invariant for path structures. The invariant is obtained as a secondary invariant from a Cartan connection on a canonical bundle associated to a path structure. It is computed in examples which are defined in terms of…

Differential Geometry · Mathematics 2023-07-03 Elisha Falbel , Jose Miguel Veloso

I investigate the Poisson-sigma model on the classical and quantum level. First I show how the interaction can be obtained by a deformation of the classical master equation of an Abelian BF theory in two dimensions. On the classical level…

High Energy Physics - Theory · Physics 2007-05-23 Thomas Schwarzweller

The world-volume theory on a D-brane in a constant B-field background can be described by either commutative or noncommutative Yang-Mills theories. These two descriptions correspond to two different gauge fixing of the diffeomorphism on the…

High Energy Physics - Theory · Physics 2009-10-31 Kazumi Okuyama

We give a quantum field theory interpretation of Kontsevich's deformation quantization formula for Poisson manifolds. We show that it is given by the perturbative expansion of the path integral of a simple topological bosonic open string…

Quantum Algebra · Mathematics 2009-10-31 Alberto S. Cattaneo , Giovanni Felder

A new method is developed for solving the conformally invariant integrals that arise in conformal field theories with a boundary. The presence of a boundary makes previous techniques for theories without a boundary less suitable. The method…

High Energy Physics - Theory · Physics 2009-10-28 David M. McAvity

We construct a framework which unifyies in dual pairs the fields and anti-fields of the Batalin and Vilkovisky quantization method. We consider gauge theories of p-forms coupled to Yang-Mills fields. Our algorithm generates many topological…

High Energy Physics - Theory · Physics 2007-05-23 Laurent Baulieu

We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic $p$-forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present…

High Energy Physics - Theory · Physics 2020-05-20 Leonardo Castellani

The overlap formula for the chiral determinant is presented and the realization of gauge anomalies and gauge field toplogy in this context is discussed. The ability of the overlap formalism to deal with supersymmetric theories and…

High Energy Physics - Lattice · Physics 2009-09-25 Rajamani Narayanan

We briefly review a hamiltonian path integral formalism developed earlier by one of us. An important feature of this formalism is that the path integral quantization in arbitrary co-ordinates is set up making use of only classical…

High Energy Physics - Theory · Physics 2016-09-06 A. K. Kapoor , Pankaj Sharan

Quantum field theory in curved spacetime may be defined either through a manifestly unitary canonical approach or via the manifestly covariant path integral formalism. For gauge theories, these two approaches have produced conflicting…

High Energy Physics - Theory · Physics 2013-12-17 William Donnelly , Aron C. Wall

The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only second-class constraints. in the Dirac's classification.The covariant quantization needs infinite number of…

High Energy Physics - Theory · Physics 2007-05-23 Dumitru Baleanu , Yurdahan Guler

The role of Poincar\'e covariant space-time translations is investigated in the case of a relativistic quantum mechanics approach to the pion charge form factor. It is shown that the related constraints are generally inconsistent with the…

Nuclear Theory · Physics 2015-05-18 Bertrand Desplanques , Yu Bing Dong

The scalar fields of supersymmetric models are coordinates of a geometric space. We propose a formulation of supersymmetry that is covariant with respect to reparametrizations of this target space. Employing chiral multiplets as an example,…

High Energy Physics - Theory · Physics 2017-04-26 Daniel Z. Freedman , Diederik Roest , Antoine Van Proeyen

In the quantum path integral formulation of a field theory model an anomaly arises when the functional measure is not invariant under a symmetry transformation of the Lagrangian. In this paper, generalizing previous work done on the point…

High Energy Physics - Theory · Physics 2009-11-10 E. Gozzi , D. Mauro , A. Silvestri

We demonstrate how a Lorentz covariant formulation of the chiral p-form model in D=2(p+1) containing infinitely many auxiliary fields is related to a Lorentz covariant formulation with only one auxiliary scalar field entering a chiral…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Pasti , Dmitri Sorokin , Mario Tonin

We perform the gauge-fixing of the theory of a chiral two-form boson in six dimensions starting from the action given by Pasti, Sorokin and Tonin. We use the Batalin-Vilkovisky formalism, introducing antifields and writing down an extended…

High Energy Physics - Theory · Physics 2009-10-31 Chris Van Den Broeck , Kor Van Hoof

With the use of the path integral formalism for finite-temperature field theory, I find the persisting vector and axial currents that are generated in quantum chiral fermionic systems. The role of the explicit violation of chiral symmetry…

High Energy Physics - Theory · Physics 2023-03-06 Yurii A. Sitenko

We discuss the quantisation of a class of string cosmology models that are characterized by scale factor duality invariance. We compute the amplitudes for the full set of classically allowed and forbidden transitions by applying the reduce…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Marco Cavaglia , Carlo Ungarelli

A covariant formalism for Moyal deformations of gauge theory and differential equations which determine Seiberg-Witten maps is presented. Replacing the ordinary product of functions by the noncommutative Moyal product, noncommutative…

High Energy Physics - Theory · Physics 2007-05-23 Aristophanes Dimakis , Folkert Muller-Hoissen

The worldline path integral approach to the Bern-Kosower formalism is reviewed, which offers an alternative to Feynman diagram calculations in quantum field theory. Recent progress in constructing a multiloop generalization of this…

High Energy Physics - Phenomenology · Physics 2008-02-03 M. G. Schmidt , C. Schubert