On self-consistency conditions in conformal covariant field theory

1972 ◽  
Vol 4 (15) ◽  
pp. 777-780 ◽  
Author(s):  
G. Parisi
Keyword(s):  
Field Theory ◽  
Consistency Conditions ◽  
Covariant Field ◽  
Self Consistency

Covariant field theory on frame bundles of fibered manifolds

2000 ◽  
Vol 41 (10) ◽  
pp. 6808 ◽  
Author(s):  
M. McLean ◽  
L. K. Norris
Keyword(s):  
Field Theory ◽  
Fibered Manifolds ◽  
Covariant Field

Manifestly covariant field theory of interacting string II

1986 ◽  
Vol 172 (2) ◽  
pp. 195-203 ◽  
Author(s):  
Hiroyuki Hata ◽  
Katsumi Itoh ◽  
Taichiro Kugo ◽  
Hiroshi Kunitomo ◽  
Kaku Ogawa
Keyword(s):  
Field Theory ◽  
Covariant Field

scholarly journals A self-consistency check for unitary propagation of Hawking quanta

2017 ◽  
Vol 32 (33) ◽  
pp. 1750198 ◽  
Author(s):  
Daniel Baker ◽  
Darsh Kodwani ◽  
Ue-Li Pen ◽  
I-Sheng Yang
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Black Hole ◽  
Negative Answer ◽  
Space Time ◽  
Quantum Field ◽  
Consistency Check ◽  
Curved Space ◽  
Self Consistency ◽  
Double Slit

The black hole information paradox presumes that quantum field theory in curved space–time can provide unitary propagation from a near-horizon mode to an asymptotic Hawking quantum. Instead of invoking conjectural quantum-gravity effects to modify such an assumption, we propose a self-consistency check. We establish an analogy to Feynman’s analysis of a double-slit experiment. Feynman showed that unitary propagation of the interfering particles, namely ignoring the entanglement with the double-slit, becomes an arbitrarily reliable assumption when the screen upon which the interference pattern is projected is infinitely far away. We argue for an analogous self-consistency check for quantum field theory in curved space–time. We apply it to the propagation of Hawking quanta and test whether ignoring the entanglement with the geometry also becomes arbitrarily reliable in the limit of a large black hole. We present curious results to suggest a negative answer, and we discuss how this loss of naive unitarity in QFT might be related to a solution of the paradox based on the soft-hair-memory effect.

scholarly journals Field Equations and Lagrangian for the Kaluza Metric Evaluated with Tensor Algebra Software

2015 ◽  
Vol 2015 ◽  
pp. 1-6 ◽  
Author(s):  
L. L. Williams
Keyword(s):  
Field Theory ◽  
Scalar Field ◽  
Computer Algebra ◽  
Data File ◽  
The Other ◽  
Tensor Algebra ◽  
Field Equations ◽  
Scalar Field Theory ◽  
Computer Package ◽  
Self Consistency

This paper calculates the Kaluza field equations with the aid of a computer package for tensor algebra, xAct. The xAct file is provided with this paper. We find that Thiry’s field equations are correct, but only under limited circumstances. The full five-dimensional field equations under the cylinder condition are provided here, and we see that most of the other references miss at least some terms from them. We go on to establish the remarkable Kaluza Lagrangian, and verify that the field equations calculated from it match those calculated with xAct, thereby demonstrating self-consistency of these results. Many of these results can be found scattered throughout the literature, and we provide some pointers for historical purposes. But our intent is to provide a definitive exposition of the field equations of the classical, five-dimensional metric ansatz of Kaluza, along with the computer algebra data file to verify them, and then to recover the unique Lagrangian for the theory. In common terms, the Kaluza theory is an “ω=0” scalar field theory, but with unique electrodynamic couplings.

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