6D trace anomalies from quantum mechanical path integrals

Abstract

We use the recently developed dimensional regularization (DR) scheme for quantum mechanical path integrals in curved space and with a finite time interval to compute the trace anomalies for a scalar field in six dimensions. This application provides a further test of the DR method applied to quantum mechanics. It shows the efficiency in higher loop computations of having to deal with covariant counterterms only, as required by the DR scheme.

14 pages, LaTeX

References in corpus (5)

• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Conformal anomaly of (2,0) tensor multiplet in six dimensions and AdS/CFT correspondence
• Reparametrization Invariance of Path Integrals
• Dimensional regularization of nonlinear sigma models on a finite time interval
• Dimensional regularization of the path integral in curved space on an infinite time interval

Cited by in corpus (18)

• Worldline formalism in a gravitational background
• Worldline approach to vector and antisymmetric tensor fields
• Dimensional regularization for N=1 susy sigma models and the worldline formalism
• On the trace anomaly of a Weyl fermion
• BRST treatment of zero modes for the worldline formalism in curved space
• Scalar heat kernel with boundary in the worldline formalism
• Extended SUSY quantum mechanics: transition amplitudes and path integrals
• Quantum theory of massless (p,0)-forms
• Mixed symmetry Wilson-loop interactions in the worldline formalism
• Six-dimensional one-loop divergences in quantum gravity from the $\mathcal{N}=4$ spinning particle
• Simplified Method for Trace Anomaly Calculations in d=6 and d<6
• Photon-graviton mixing in an electromagnetic field
• The d=6 trace anomaly from quantum field theory four-loop graphs in one dimension
• One-loop quantum gravity from a worldline viewpoint
• Simplified path integral for supersymmetric quantum mechanics and type-A trace anomalies
• On the simplified path integral on spheres
• Dimensional Regularization for the Particle Transition Amplitude in Curved Space
• Addendum: Weyl cocycles, (Class.Quantum Grav. 3 (1986) 635)