The domain of the time-averaged field operator in axiomatic field theory

1968 ◽  
Vol 53 (1) ◽  
pp. 298-300
Author(s):  
Å. Kolm
Keyword(s):  
Field Theory ◽  
Field Operator ◽  
Axiomatic Field Theory

What is the point of so‐called “axiomatic field theory”?

Physics Today ◽  
1969 ◽  
Vol 22 (9) ◽  
pp. 53-58 ◽  
Author(s):  
Arthur S. Wightman
Keyword(s):  
Field Theory ◽  
Axiomatic Field Theory

Axiomatic field theory in terms of operator Jacobi matrices

1971 ◽  
Vol 8 (2) ◽  
pp. 754-765 ◽  
Author(s):  
Yu. M. Berezanskii ◽  
V. D. Koshmanenko
Keyword(s):  
Field Theory ◽  
Jacobi Matrices ◽  
Axiomatic Field Theory

Whither Axiomatic Field Theory?

1969 ◽  
Vol 41 (4) ◽  
pp. 576-580 ◽  
Author(s):  
ARTHUR M. JAFFE
Keyword(s):  
Field Theory ◽  
Axiomatic Field Theory

A novel method for renormalization in quantum-field theory in curved spacetime

2018 ◽  
Vol 27 (11) ◽  
pp. 1843001 ◽  
Author(s):  
Gabriel Freitas ◽  
Marc Casals
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Kerr Black Hole ◽  
Field Operator ◽  
Massless Scalar ◽  
Energy Tensor ◽  
Massless Scalar Field ◽  
Quantum Field ◽  
Curved Spacetime ◽  
Renormalization Method

In quantum-field theory in curved spacetime, two important physical quantities are the expectation value of the stress-energy tensor [Formula: see text] and of the square of the field operator [Formula: see text]. These expectation values must be renormalized, which is usually performed via the so-called point-splitting prescription. However, the renormalization method that is usually implemented in the literature, in principle, only applies to static, spherically-symmetric spacetimes, and does not readily generalize to other types of spacetime. We present a novel implementation of the renormalization procedure which may be used in the future for more general spacetimes, such as Kerr black hole spacetime. As an example, we apply our method to the renormalization of [Formula: see text] for a massless scalar field in Bertotti–Robinson spacetime.

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