Field Theory in Particle Physics, Volume 1 and Quantum Field Theory and Gauge Theories of Strong and Electroweak Interactions

Physics Today ◽  
1987 ◽  
Vol 40 (12) ◽  
pp. 86-88
Author(s):  
B. de Wit ◽  
J. Smith ◽  
Lewis H. Ryder ◽  
Peter Becher ◽  
Manfred Böhm ◽  
...  
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Particle Physics ◽  
Gauge Theories ◽  
Quantum Field ◽  
Electroweak Interactions

scholarly journals A Brief Review of Implicit Regularization and Its Connection with the BPHZ Theorem

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 956
Author(s):  
Dafne Carolina Arias-Perdomo ◽  
Adriano Cherchiglia ◽  
Brigitte Hiller ◽  
Marcos Sampaio
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Gauge Symmetry ◽  
Particle Physics ◽  
Analytic Extension ◽  
Quantum Field ◽  
Loop Order ◽  
Time Dimension ◽  
The Core ◽  
Striking Success

Quantum Field Theory, as the keystone of particle physics, has offered great insights into deciphering the core of Nature. Despite its striking success, by adhering to local interactions, Quantum Field Theory suffers from the appearance of divergent quantities in intermediary steps of the calculation, which encompasses the need for some regularization/renormalization prescription. As an alternative to traditional methods, based on the analytic extension of space–time dimension, frameworks that stay in the physical dimension have emerged; Implicit Regularization is one among them. We briefly review the method, aiming to illustrate how Implicit Regularization complies with the BPHZ theorem, which implies that it respects unitarity and locality to arbitrary loop order. We also pedagogically discuss how the method complies with gauge symmetry using one- and two-loop examples in QED and QCD.

Lecture on SUSY Gauge Theories and Integrable Systems

1997 ◽  
Vol 11 (26n27) ◽  
pp. 3093-3124
Author(s):  
A. Marshakov
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Integrable Systems ◽  
Gauge Theories ◽  
Toda Chain ◽  
Quantum Field ◽  
Standard Quantum ◽  
Integrable Equations ◽  
Complex Curves ◽  
Periodic Toda Chain

I consider main features of the formulation of the finite-gap solutions to integrable equations in terms of complex curves and generating 1-differential. The example of periodic Toda chain solutions is considered in detail. Recently found exact nonperturbative solutions to [Formula: see text] SUSY gauge theories are formulated using the methods of the theory of integrable systems and where possible the parallels between standard quantum field theory results and solutions to the integrable systems are discussed.

scholarly journals AN ALGORITHMIC APPROACH TO QUANTUM FIELD THEORY

2006 ◽  
Vol 21 (03) ◽  
pp. 405-447 ◽  
Author(s):  
MASSIMO DI PIERRO
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Path Integral ◽  
Gauge Theories ◽  
Quantum Field ◽  
Algorithmic Approach ◽  
Main Emphasis ◽  
Lattice Computation ◽  
Theoretical Foundations ◽  
Minimal Residual

The lattice formulation provides a way to regularize, define and compute the Path Integral in a Quantum Field Theory. In this paper, we review the theoretical foundations and the most basic algorithms required to implement a typical lattice computation, including the Metropolis, the Gibbs sampling, the Minimal Residual, and the Stabilized Biconjugate inverters. The main emphasis is on gauge theories with fermions such as QCD. We also provide examples of typical results from lattice QCD computations for quantities of phenomenological interest.

My Life with Quarks

2015 ◽  
Vol 04 (01) ◽  
pp. 66-70
Author(s):  
Sheldon Lee Glashow
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Particle Physics ◽  
Quantum Field ◽  
Gim Mechanism ◽  
The Many ◽  
Doctoral Work ◽  
Electroweak Model

This is a personal, anecdotal and autobiographical account of my early endeavors in particle physics, emphasizing how they interwove with the conception and eventual acceptance of the quark hypothesis. I focus on the years from 1958, when my doctoral work at Harvard was completed, to 1970, when John Iliopoulos, Luciano Maiani and I introduced the GIM mechanism, thereby extending the electroweak model to include all known particles, and some that were not then known. I have not described the profound advances in quantum field theory and the many difficult and ingenious experimental efforts that undergird my story which is not intended to be an inclusive record of this exciting decade of my discipline. My tale begins almost two years before I met Murray and over five years before the invention of quarks.

scholarly journals ISSUES WITH VACUUM ENERGY AS THE ORIGIN OF DARK ENERGY

2012 ◽  
Vol 27 (27) ◽  
pp. 1250154 ◽  
Author(s):  
HOURI ZIAEEPOUR
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Dark Energy ◽  
Particle Physics ◽  
Vacuum Energy ◽  
A Priori ◽  
Higgs Field ◽  
Scalar Fields ◽  
Vacuum Energy Density ◽  
Quantum Field

In this paper, we address some of the issues raised in the literature about the conflict between a large vacuum energy density, a priori predicted by quantum field theory, and the observed dark energy which must be the energy of vacuum or include it. We present a number of arguments against this claim and in favor of a null vacuum energy. They are based on the following arguments: A new definition for the vacuum in quantum field theory as a frame-independent coherent state; results from a detailed study of condensation of scalar fields in Friedmann–Lemaître–Robertson–Walker (FLRW) background performed in a previous work; and our present knowledge about the Standard Model of particle physics. One of the predictions of these arguments is the confinement of nonzero expectation value of Higgs field to scales roughly comparable with the width of electroweak gauge bosons or shorter. If the observation of Higgs by the LHC is confirmed, accumulation of relevant events and their energy dependence in near future should allow us to measure the spatial extend of the Higgs condensate.

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.

scholarly journals SURPRISES IN NONPERTURBATIVE DYNAMICS IN σ-MODEL AT FINITE DENSITY

2004 ◽  
Vol 19 (18) ◽  
pp. 1341-1356 ◽  
Author(s):  
V. P. GUSYNIN ◽  
V. A. MIRANSKY ◽  
I. A. SHOVKOVY
Keyword(s):  
Elementary Particle ◽  
Field Theory ◽  
Quantum Field Theory ◽  
Particle Physics ◽  
Chemical Potential ◽  
High Density ◽  
Quantum Field ◽  
Finite Density ◽  
Elementary Particle Physics ◽  
Kaon Condensate

The linear SU (2)L× SU (2)R σ-model occupies a unique place in elementary particle physics and quantum field theory. It has been recently realized that when a chemical potential for hypercharge is added, it becomes a toy model for the description of the dynamics of the kaon condensate in high density QCD. We review recent results in nonperturbative dynamics obtained in the ungauged and gauged versions of this model.

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