ar X iv : h ep - t h / 96 10 18 5 v 1 2 3 O ct 1 99 6 A Functional Approach to the Heat Kernel in Curved Space
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ar X iv : h ep - t h / 96 08 14 2 v 1 2 1 A ug 1 99 6 The Casimir Effect of Curved Space - time ( formal developments )
The free energy due to the vacuum fluctuations of matter fields on a classical gravitational background is discussed. It is shown explicitly how this energy is calculated for a non-minimally coupled scalar field in an arbitrary gravitational background, using the heat kernel method. The treatment of (self-)interacting fields of higher spin is outlined, using a meanfield approximation to the gau...
متن کاملar X iv : h ep - t h / 96 08 14 1 v 1 2 1 A ug 1 99 6 Propagators in Curved Space
We demonstrate how to obtain explicitly the propagators for quantum fields residing in curved space-time using the heat kernel for which a new construction procedure exists. Propagators are determined for the case of Rindler, Friedman-Robertson-Walker, Schwarzschild and general conformally flat metrics, both for scalar, Dirac and Yang-Mills fields. The calculations are based on an improved form...
متن کاملar X iv : h ep - t h / 96 10 18 3 v 1 2 3 O ct 1 99 6 GROUP CONTRACTIONS : INONU , WIGNER , AND EINSTEIN
Einstein's E = mc 2 unifies the momentum-energy relations for massive and massless particles. According to Wigner, the internal space-time symmetries of massive and massless particles are isomorphic to O(3) and E(2) respectively. According to Inonu and Wigner, O(3) can be contracted to E(2) in the large-radius limit. It is noted that the O(3)-like little group for massive particles can be contr...
متن کاملar X iv : h ep - t h / 98 10 23 4 v 1 2 8 O ct 1 99 8 FUNCTIONAL APPROACH TO PHASE SPACE FORMULATION OF QUANTUM MECHANICS
We present BRST gauge fixing approach to quantum mechanics in phase space. The theory is obtained by ¯ h-deformation of the cohomological classical mechanics described by d = 1, N = 2 model. We use the extended phase space supplied by the path integral formulation with ¯ h-deformed symplectic structure.
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