q-Functional Wick’s theorems for particles with exotic statistics

1 99 7 q - Functional Wick ’ s theorems for particles with exotic statistics

In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-generalization of the colored particles which appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we prove the q-functional analogues o...

v 1 1 3 M ay 1 99 7 q - Functional Field Theory for particles with exotic statistics

In the paper we give consecutive description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we derive formulae in q-functional derivatives for the partition function and Green'...

ar X iv : h ep - t h / 93 07 05 9 v 1 9 J ul 1 99 3 hep - th / 9307059 NSF - ITP - 93 - 57 BLACK HOLE STATISTICS

The quantum statistics of charged, extremal black holes is investigated beginning with the hypothesis that the quantum state is a functional on the space of closed three-geometries, with each black hole connected to an oppositely charged black hole through a spatial wormhole. From this starting point a simple argument is given that a collection of extremal black holes obeys neither Bose nor Fer...

Non-Gaussian generalizations of Wick’s theorems, related to the Schwinger-Dyson equation.

Post-Wick theorems for symbolic manipulation of second-quantized expressions

Manipulating expressions in many-body perturbation theory becomes unwieldy with increasing order of the perturbation theory. Here I derive a set of theorems for efficient simplification of such expressions. The derived rules are specifically designed for implementing with symbolic algebra tools. As an illustration, we count the numbers of Brueckner–Goldstone diagrams in the first several orders...