On positivity of quantum measure and of effective action in area tensor Regge calculus

Details On positivity of quantum measure and of effective action in area tensor Regge calculus On positivity of quantum measure and of effective action in area tensor Regge calculus

2007-07-23

arxiv.org/abs/0707.3331v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 4 figures

Scientific paper

Because of unboundedness of the general relativity action, Euclidean version of the path integral in general relativity requires definition. Area tensor Regge calculus is considered in the representation with independent area tensor and finite rotation matrices. Being integrated over rotation matrices the path integral measure in area tensor Regge calculus is rewritten by moving integration contours to complex plain so that it looks as that one with effective action in the exponential with positive real part. We speculate that positivity of the measure can be expected in the most part of range of variation of area tensors.

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