Towards complex (rational) powers of free fields, generalized \(\beta \gamma\) systems and nonpolynomial quantum field theory
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Publication:2775384
DOI10.1142/S0217751X95001558zbMATH Open0985.81728arXivhep-th/9407180MaRDI QIDQ2775384
Publication date: 26 February 2002
Published in: International Journal of Modern Physics A (Search for Journal in Brave)
Abstract: The 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.
Full work available at URL: https://arxiv.org/abs/hep-th/9407180
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