论文信息 - Wick Rotation and the Positivity of Energy in Quantum Field Theory

Wick Rotation and the Positivity of Energy in Quantum Field Theory

We propose a new axiom system for unitary quantum field theories on curved space-time backgrounds, by postulating that the partition function and the correlators extend analytically to a certain domain of complex-valued metrics. Ordinary Riemannian metrics are contained in the allowable domain, while Lorentzian metrics lie on its boundary.

Graeme Segal | Maxim Kontsevich | G. Segal | M. Kontsevich

[1] S. Weinberg,et al. Limits on Massless Particles , 1980 .

[2] 48 , 2015, Slow Burn.

[3] Romeo Brunetti,et al. Quantum Field Theory on Curved Backgrounds , 2009, 0901.2063.

[4] Katrin Baumgartner,et al. Introduction To Complex Analysis In Several Variables , 2016 .

[5] B. Janssens. Loop groups , 2016 .

[6] G. Kelnhofer. Functional integration and gauge ambiguities in generalized abelian gauge theories , 2007, 0711.4085.

[7] R. J. Szabo,et al. Quantization of Higher Abelian Gauge Theory in Generalized Differential Cohomology , 2012, 1209.2530.

[8] H. Petry,et al. Differential geometrical methods in theoretical physics , 1977 .

[9] Pierre Deligne,et al. Quantum Fields and Strings: A Course for Mathematicians , 1999 .

[10] K. Costello. Renormalization and Effective Field Theory , 2011 .

[11] Marina Schroder,et al. Pct Spin And Statistics And All That , 2016 .

[12] R. Feynman,et al. Quantum Mechanics and Path Integrals , 1965 .

[13] Y. Neretin. HOLOMORPHIC EXTENSIONS OF REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE , 1990 .

[14] G. Segal. The Definition of Conformal Field Theory , 1988 .

[15] Enrico Fermi,et al. Quantum Theory of Radiation , 1932 .