Gauge invariance and BRS quantum field theory

2005 ◽  
pp. 41-51 ◽  
Author(s):  
Er-Cheng Tsai
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Invariance ◽  
Quantum Field

Article

1998 ◽  
Vol 76 (2) ◽  
pp. 111-127
Author(s):  
D Solomon
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Invariance ◽  
Vacuum State ◽  
Dirac Field ◽  
Quantum Field ◽  
Gauge Invariant ◽  
Definition Of ◽  
The Way

Quantum field theory is assumed to be gauge invariant. We show that for a Dirac field the assumption of gauge invariance impacts on the way the vacuum state is defined, and also that the conventional definition of the vacuum state must be modified to take into account the requirements of gauge invariance.PACS No. 1100

scholarly journals p^·A^ vs x^·E^ : Gauge invariance in quantum optics and quantum field theory

2019 ◽  
Vol 99 (6) ◽  
Author(s):  
Nicholas Funai ◽  
Jorma Louko ◽  
Eduardo Martín-Martínez
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Optics ◽  
Gauge Invariance ◽  
Quantum Field

NO-GO THEOREMS FOR NONSUPERSYMMETRIC FINITE QUANTUM FIELD THEORIES

1994 ◽  
Vol 09 (12) ◽  
pp. 1093-1103 ◽  
Author(s):  
PETER GRANDITS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Invariance ◽  
Field Theories ◽  
Special Role ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Finiteness Conditions ◽  
Yukawa Couplings

We consider the finiteness conditions on the Yukawa couplings of a general quantum field theory for groups SU (N). Their gauge invariance leads us to the necessary structure of the couplings, and for some cases the nonexistence of non-trivial solutions is proved. Somewhat miraculously a special role of SU(5) emerges as a possible case of evading these no-go theorems.

scholarly journals Revisiting the Okubo–Marshak Argument

Symmetry ◽  
2021 ◽  
Vol 13 (9) ◽  
pp. 1645
Author(s):  
Christian Gaß ◽  
José M. Gracia-Bondía ◽  
Jens Mund
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Theory ◽  
Quantum Chromodynamics ◽  
Gauge Invariance ◽  
Local Symmetry ◽  
Quantum Field ◽  
Global Gauge ◽  
Modular Localization ◽  
Key Aspects

Modular localization and the theory of string-localized fields have revolutionized several key aspects of quantum field theory. They reinforce the contention that local symmetry emerges directly from quantum theory, but global gauge invariance remains in general an unwarranted assumption to be examined case by case. Armed with those modern tools, we reconsider here the classical Okubo–Marshak argument on the non-existence of a “strong CP problem” in quantum chromodynamics.

scholarly journals CONSTRAINTS ON EMERGENT GRAVITY

2009 ◽  
Vol 18 (14) ◽  
pp. 2249-2255 ◽  
Author(s):  
ALEJANDRO JENKINS
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
General Relativity ◽  
Gauge Invariance ◽  
Energy Operator ◽  
Gravitational Theory ◽  
Quantum Field ◽  
Principle Of Equivalence ◽  
Stress Energy ◽  
Low Energies

In this essay we review the central difficulty in formulating a viable quantum field theory in which gravity is emergent at low energies rather than being mediated by a fundamental gauge field. The Weinberg–Witten theorem forbids spin 2, massless modes from carrying Lorentz-covariant stress–energy. In general relativity the stress–energy is not covariant because it violates a gauge invariance, but a gravitational theory without fundamental spin 2 gauge invariance must either lack a stress–energy operator or have a nonrelativistic graviton. The latter option is incompatible with the principle of equivalence, though such theories are not necessarily ruled out at low energies.

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