Reality conditions inducing transforms for quantum gauge field theory and quantum gravity

被引:83
作者
Thiemann, T
机构
[1] Physics Department, Harvard University, Cambridge
关键词
D O I
10.1088/0264-9381/13/6/012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The algebraic form of the Hamiltonian or Hamiltonian constraint of various (field) theories simplifies considerably if one uses certain complex-valued phase space variables. We show, for a general theory, that if we prescribe first a canonical complexification and second a * representation of the canonical commutation relations in which the real connection is diagonal, then there is only one choice of a holomorphic * representation which incorporates the correct reality conditions and keeps the Hamiltonian (constraint) algebraically simple. We derive a canonical algorithm to obtain this holomorphic representation and in particular explicitly compute it for quantum gravity in terms of a Wick rotation transform.
引用
收藏
页码:1383 / 1403
页数:21
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