Towards complex(rational) powers of free fields, generalized $βγ$ systems and non-polynomial quantum field theory

Details Towards complex(rational) powers of free fields, generalized $βγ$ systems and non-polynomial quantum field theory Towards complex(rational) powers of free fields, generalized $βγ$ systems and non-polynomial quantum field theory

1994-07-27

arxiv.org/abs/hep-th/9407180v1

Int.J.Mod.Phys. A10 (1995) 3221-3229

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 3 figures, LaTex, HUB-IEP-94/9

Scientific paper

The $\beta\gamma$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed. First the complex(rational) powers are defined via an integral representation,that allows to compute the conformal blocks, Green functions and structure constants of OPA. Next an approach based on a system of recursion equations for the Green functions is developed. A number of solutions of the system is found. A lot of possible applications is briefly discussed.

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