The heat kernel of the compactified D=11 supermembrane with non-trivial winding

Boulton, L; Restuccia, A

Abstract

We study the quantization of the regularized Hamiltonian, H, of the compactified D = 11 supermembrane with non-trivial winding. By showing that H is a relatively small perturbation of the bosonic Hamiltonian, we construct a Dyson series for the heat kernel of H and prove its convergence in the topology of the von Neumann-Schatten classes so that e(-Ht), is ensured to be of finite trace. The results provided have a natural interpretation in terms of the quantum mechanical model associated to regularizations of compactified supermembranes. In this direction, we discuss the validity of the Feynman path integral description of the heat kernel for D = 11 supermembranes and obtain rigorously a matrix Feynman-Kac formula. (c) 2005 Elsevier B.V. All rights reserved.

Más información

Título según WOS: ID WOS:000231780000009 Not found in local WOS DB
Título de la Revista: NUCLEAR PHYSICS B
Volumen: 724
Número: 1-2
Editorial: ELSEVIER SCIENCE BV
Fecha de publicación: 2005
Página de inicio: 380
Página final: 396
DOI:

10.1016/j.nuclphysb.2005.07.004

Notas: ISI