scholarly journals The Role of Operator Ordering in Quantum Field Theory

1980 ◽  
Vol 63 (1) ◽  
pp. 287-302 ◽  
Author(s):  
T. Suzuki ◽  
A. C. Hirshfeld ◽  
H. Leschke
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Field ◽  
Operator Ordering

A curiosity concerning the role of coherent states in quantum field theory

Pramana ◽  
1980 ◽  
Vol 15 (1) ◽  
pp. 107-115 ◽  
Author(s):  
Abhay Ashtekar ◽  
Anne Magnon-Ashtekar
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Coherent States ◽  
Quantum Field

A Possible Role of Universal Length in the Theory of Weak Interactions

1973 ◽  
Vol 51 (14) ◽  
pp. 1577-1581 ◽  
Author(s):  
D. Y. Kim
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Weak Interactions ◽  
Relativistic Quantum ◽  
Universal Constant ◽  
Point Of View ◽  
Quantum Field ◽  
Elementary Length ◽  
Modern Physics

The discovery and role of already existing universal constants h and c in modern physics have been reviewed from a particular point of view. This viewpoint is characterized by a pattern of logic in terms of which one may possibly find a new universal constant, i.e. the elementary length. One of the main objectives of this paper is to find out whether the elementary length introduced this way would resolve inherent difficulties in relativistic quantum field theory. This has been explicitly studied in terms of the nonlocal field theory in connection with the CP violating kaon decay. This produced a relation [Formula: see text] which leads, on the one hand, to a consistent explanation of the possible mechanism of CP violation and, on the other hand, gives a result which is most probably the first direct link between the elementary length (nonlocality) and an experiment without having the inherent disorder in the small distance behavior in quantum field theory.

scholarly journals Magnetic monopoles in field theory and cosmology

2012 ◽  
Vol 370 (1981) ◽  
pp. 5705-5717 ◽  
Author(s):  
Arttu Rajantie
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Standard Model ◽  
Particle Physics ◽  
Magnetic Monopoles ◽  
Beyond The Standard Model ◽  
Quantum Field ◽  
Magnetic Systems ◽  
The Standard Model

The existence of magnetic monopoles is predicted by many theories of particle physics beyond the standard model. However, in spite of extensive searches, there is no experimental or observational sign of them. I review the role of magnetic monopoles in quantum field theory and discuss their implications for particle physics and cosmology. I also highlight their differences and similarities with monopoles found in frustrated magnetic systems.

Theories in History and Practice

2020 ◽  
pp. 203-224
Author(s):  
Steven French
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Quantum Field ◽  
Interpretive Practices ◽  
Classical And Quantum Mechanics

This eliminativist view must immediately face the concern that scientists themselves appear to be committed to the existence of theories. They talk about them, apparently refer to them, argue that they are equivalent or not and so forth. However, here it is shown that when it comes to classical and quantum mechanics, as well as quantum field theory—to give just three examples—what is meant by the theory is hugely contested. Indeed, this meaning is typically constructed retrospectively and promulgated by various means, such as through the use of certain textbooks, for example. Likewise it is contentious whether two putative formulations of the ‘same’ theory should be regarded as equivalent or not and again the role of interpretive practices comes to the fore.

THERMOFIELD DYNAMICS AND e+e- REACTIONS

2011 ◽  
Vol 26 (17) ◽  
pp. 2881-2897 ◽  
Author(s):  
M. CHEKERKER ◽  
M. LADREM ◽  
F. C. KHANNA ◽  
A. E. SANTANA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Real Time ◽  
Finite Temperature ◽  
Quantum Field ◽  
Time Formalism ◽  
Hadronic State ◽  
Real Time Formalism

The thermofield dynamics, a real-time formalism for finite temperature quantum field theory, is used to calculate the rates for e+e- reactions at finite temperature. The results show the role of temperature in defining a hadronic state after the plasma has been cooled down.

Factorization Algebras in Quantum Field Theory

2021 ◽  
Author(s):  
Kevin Costello ◽  
Owen Gwilliam
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Local Structure ◽  
Field Theories ◽  
Operator Product ◽  
Quantum Field ◽  
Essential Information ◽  
Conformal Blocks ◽  
Factorization Algebras

Factorization algebras are local-to-global objects that play a role in classical and quantum field theory that is similar to the role of sheaves in geometry: they conveniently organize complicated information. Their local structure encompasses examples like associative and vertex algebras; in these examples, their global structure encompasses Hochschild homology and conformal blocks. In this second volume, the authors show how factorization algebras arise from interacting field theories, both classical and quantum, and how they encode essential information such as operator product expansions, Noether currents, and anomalies. Along with a systematic reworking of the Batalin–Vilkovisky formalism via derived geometry and factorization algebras, this book offers concrete examples from physics, ranging from angular momentum and Virasoro symmetries to a five-dimensional gauge theory.

Operator ordering in quantum field theory. Nonlinear Lagrangian of scalar fields

1986 ◽  
Vol 94 (2) ◽  
pp. 176-195
Author(s):  
Y. Yamashita ◽  
T. Fukuda ◽  
M. Monda ◽  
M. Takeda
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Scalar Fields ◽  
Quantum Field ◽  
Operator Ordering ◽  
Nonlinear Lagrangian

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 From Gauge Anomalies to Gerbes and Gerbal Representations: Group Cocycles in Quantum Theory

10.14311/1189 ◽  
2010 ◽  
Vol 50 (3) ◽  
Author(s):  
J. Mickelsson
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Quantum Mechanics ◽  
Quantum Theory ◽  
Representation Theory ◽  
Group Cohomology ◽  
Quantum Field ◽  
Yang Mills ◽  
Gauge Anomalies

In this paper I shall discuss the role of group cohomology in quantum mechanics and quantum field theory. First, I recall how cocycles of degree 1 and 2 appear naturally in the context of gauge anomalies. Then we investigate how group cohomology of degree 3 comes from a prolongation problem for group extensions and we discuss its role in quantum field theory. Finally, we discuss a generalization to representation theory where a representation is replaced by a 1-cocycle or its prolongation by a circle, and point out how this type of situations come up in the quantization of Yang-Mills theory.

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