We describe how to construct and compute unambiguously path integrals for particles moving in a curved space, and how these path integrals can be used to calculate Feynman graphs and effective actions for various quantum field theories with external gravity in the framework of the worldline formalism. In particular, we review a recent application of this worldline approach and discuss vector and antisymmetric tensor fields coupled to gravity. This requires the construction of a path integral for the $N=2$ spinning particle, which is used to compute the first three Seeley--DeWitt coefficients for all $p$-form gauge fields in all dimensions and to derive exact duality relations.

F. Bastianelli (2005). Path integrals in curved space and the worldline formalism. PRAGA : s.n.

Path integrals in curved space and the worldline formalism

BASTIANELLI, FIORENZO
2005

Abstract

We describe how to construct and compute unambiguously path integrals for particles moving in a curved space, and how these path integrals can be used to calculate Feynman graphs and effective actions for various quantum field theories with external gravity in the framework of the worldline formalism. In particular, we review a recent application of this worldline approach and discuss vector and antisymmetric tensor fields coupled to gravity. This requires the construction of a path integral for the $N=2$ spinning particle, which is used to compute the first three Seeley--DeWitt coefficients for all $p$-form gauge fields in all dimensions and to derive exact duality relations.
2005
Path Integrals from Quantum Information to Cosmology
1
16
F. Bastianelli (2005). Path integrals in curved space and the worldline formalism. PRAGA : s.n.
F. Bastianelli
File in questo prodotto:
Eventuali allegati, non sono esposti

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/23937
 Attenzione

Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo

Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 4
  • ???jsp.display-item.citation.isi??? ND
social impact