scholarly journals On the Role of Self-similarity in the Dynamics of Effective Field Theory

2020 ◽  
Author(s):  
Ervin Goldfain
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Effective Field Theory ◽  
Fractal Geometry ◽  
Effective Field ◽  
Quantum Field ◽  
Self Similarity ◽  
Invariance Principles ◽  
Scale Free

The goal of this work is to show that the underlying symmetries of effective field theory can be traced to the onset of self-similarity. In particular, we argue that the scale-free structure of fractal geometry lies at the heart of invariance principles in classical and Quantum Field Theory.

scholarly journals Solid quantization for nonpoint particles

2014 ◽  
Vol 92 (1) ◽  
pp. 25-30 ◽  
Author(s):  
P. Wang
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Effective Field Theory ◽  
Degrees Of Freedom ◽  
Effective Field ◽  
Quantum Field ◽  
Point Particles

In quantum field theory, elemental particles are assumed to be point particles. As a result, the loop integrals are divergent in many cases. Regularization and renormalization are necessary to get the physical finite results from the infinite, divergent loop integrations. We propose new quantization conditions for nonpoint particles. With this solid quantization, divergence could be treated systematically. This method is useful for effective field theory, which is on hadron degrees of freedom. The elemental particles could also be nonpoint ones. They can be studied in this approach as well.

Quantum field theory: An effective theory

2019 ◽  
pp. 111-136
Author(s):  
Jean Zinn-Justin
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Particle Physics ◽  
Statistical Physics ◽  
Mass Scale ◽  
Effective Field ◽  
Quantum Field Theories ◽  
Quantum Field ◽  
Microscopic Scale ◽  
Linear Sigma Models

Chapter 8 discusses effective field theory. This concept is inspired by the theory of critical phenomena in statistical physics and based on renormalization group ideas. The basic idea behind effective field theory is that one starts from a microscopic model involving an infinite number of fluctuating degrees of freedom whose interactions are characterized by a microscopic scale and in which, as a result of interactions, a length that is much larger than the microscopic scale, or, equivalently, a mass much smaller than the characteristic mass scale of the initial model, is generated. The chapter illustrates this topic with examples. It also stresses that all quantum field theories as applied to particle physics or statistical physics are only effective (i.e. not fundamental) theories. Besides the problem of a phi4 type field theory with a large mass field, two more complicated examples are discussed: the Gross–Neveu and the non–linear sigma models.

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

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 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 The Role of Scalar Mesons in Extended Perturbation Scheme for Effective Field Theory

2008 ◽  
Author(s):  
Kirill Semenov-Tian-Shansky ◽  
Alexander Vereshagin ◽  
Vladimir Vereshagin ◽  
George Rupp ◽  
Eef van Beveren ◽  
...  
Keyword(s):  
Field Theory ◽  
Effective Field Theory ◽  
Effective Field ◽  
Perturbation Scheme ◽  
Scalar Mesons

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.

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