Affine holomorphic quantization |
| |
Authors: | Robert Oeckl |
| |
Institution: | Instituto de Matemáticas, Universidad Nacional Autónoma de México, Campus Morelia, C.P. 58190, Morelia, Michoacán, Mexico |
| |
Abstract: | We present a rigorous and functorial quantization scheme for affine field theories, i.e., field theories where local spaces of solutions are affine spaces. The target framework for the quantization is the general boundary formulation, allowing to implement manifest locality without the necessity for metric or causal background structures. The quantization combines the holomorphic version of geometric quantization for state spaces with the Feynman path integral quantization for amplitudes. We also develop an adapted notion of coherent states, discuss vacuum states, and consider observables and their Berezin–Toeplitz quantization. Moreover, we derive a factorization identity for the amplitude in the special case of a linear field theory modified by a source-like term and comment on its use as a generating functional for a generalized S-matrix. |
| |
Keywords: | Geometric quantization Feynman path integral General boundary formulation Topological quantum field theory Quantum field theory Coherent states |
本文献已被 ScienceDirect 等数据库收录! |
|