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Mathematics
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Advances in Quantum Field Theory and Applications
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Advances in Quantum Field Theory and Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Mathematical Physics".

Deadline for manuscript submissions: closed (30 April 2021) | Viewed by 9380

Special Issue Editor

Prof. Dr. Rami Ahmad El-Nabulsi

E-Mail Website
Guest Editor
Director of Natural and Formal Sciences Division and the Head of the Physics Unit, Athens Institute for Education and Research, Greece
Interests: geometrical dynamics; quantum dynamics; nonlinearity; fractal dynamics; geometrical physics; general relativity and gravitation; operators theory; quantum field theory; plasma mhd and planetary dynamics; chaos and bifurcations; reactor physics and nuclear sciences; solid state physics and magnetism; quantum electronics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

It is well-believed that quantum field theory represents the basic framework of particle physics and their interactions. The success of renormalized quantum electrodynamics by predicting several properties of subatomic particles, in addition to the description of the weak and strong interactions which lead to the Standard Model and predictions for the Higgs boson, is extraordinary. The most precise experimental test of quantum electrodynamics concerns the measure of the magnetic moment of muons which agree with theoretical predictions to nine significant digits. Abundant fields of applications based on quantum field theory have been explored in theoretical physics, mainly in condensed matter physics and quasiparticles theory. Despite this triumph, the grand unification of the weak, strong, and electromagnetic interactions is still fruitless, and as a result, new phenomenological theories have emerged, such as supersymmetry, supergravity, string theory, canonical quantum gravity, and twistor theory.

The aim of this Special issue is first to study some applications of quantum field theory in a broad sense and to explore the phenomenological theories that may lead toward a Grand Unification.    

Prof. Dr. Rami Ahmad El-Nabulsi
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • quantum field theory
  • condensed matter systems
  • low-dimensional quantum systems
  • high-Tc superconductors
  • strongly correlated conductors
  • anomalies in QFT
  • Luttinger liquids
  • quantum phase transitions and critical phenomena
  • BCS superconductivity
  • lattice field theory
  • supersymmetric QFT
  • Grand Unified Theory
  • applications of QFT to geometry
  • applications of perturbative QFT to nuclear physics

Published Papers (5 papers)

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Research

10 pages, 910 KiB  
Article
The Superiority of Quantum Strategy in 3-Player Prisoner’s Dilemma
by Zhiyuan Dong and Ai-Guo Wu
Mathematics 2021, 9(12), 1443; https://doi.org/10.3390/math9121443 - 21 Jun 2021
Viewed by 1920
Abstract
In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N-player case. The final state of quantum game theory of N-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As [...] Read more.
In this paper, we extend the quantum game theory of Prisoner’s Dilemma to the N-player case. The final state of quantum game theory of N-player Prisoner’s Dilemma is derived, which can be used to investigate the payoff of each player. As demonstration, two cases (2-player and 3-player) are studied to illustrate the superiority of quantum strategy in the game theory. Specifically, the non-unique entanglement parameter is found to maximize the total payoff, which oscillates periodically. Finally, the optimal strategic set is proved to depend on the selection of initial states. Full article
(This article belongs to the Special Issue Advances in Quantum Field Theory and Applications)
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13 pages, 281 KiB  
Article
Fully Symmetric Relativistic Quantum Mechanics and Its Physical Implications
by Bao D. Tran and Zdzislaw E. Musielak
Mathematics 2021, 9(11), 1213; https://doi.org/10.3390/math9111213 - 27 May 2021
Cited by 1 | Viewed by 1568
Abstract
A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes [...] Read more.
A new formulation of relativistic quantum mechanics is presented and applied to a free, massive, and spin-zero elementary particle in the Minkowski spacetime. The reformulation requires that time and space, as well as the timelike and spacelike intervals, are treated equally, which makes the new theory fully symmetric and consistent with the special theory of relativity. The theory correctly reproduces the classical action of a relativistic particle in the path integral formalism, and allows for the introduction of a new quantity called vector-mass, whose physical implications for nonlocality, the uncertainty principle, and quantum vacuum are described and discussed. Full article
(This article belongs to the Special Issue Advances in Quantum Field Theory and Applications)
11 pages, 746 KiB  
Article
Amended Criteria of Oscillation for Nonlinear Functional Dynamic Equations of Second-Order
by Taher S. Hassan, Rami Ahmad El-Nabulsi and Amir Abdel Menaem
Mathematics 2021, 9(11), 1191; https://doi.org/10.3390/math9111191 - 25 May 2021
Cited by 9 | Viewed by 1600
Abstract
In this paper, the sharp Hille-type oscillation criteria are proposed for a class of second-order nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type [...] Read more.
In this paper, the sharp Hille-type oscillation criteria are proposed for a class of second-order nonlinear functional dynamic equations on an arbitrary time scale, by using the technique of Riccati transformation and integral averaging method. The obtained results demonstrate an improvement in Hille-type compared with the results reported in the literature. Some examples are provided to illustrate the significance of the obtained results. Full article
(This article belongs to the Special Issue Advances in Quantum Field Theory and Applications)
10 pages, 20371 KiB  
Article
Wavelet Spectra of a Chirped Gaussian Pulsed-Driven Harmonic Oscillator
by R. A. Alharbey and H. Abusamra
Mathematics 2021, 9(9), 939; https://doi.org/10.3390/math9090939 - 23 Apr 2021
Cited by 2 | Viewed by 1355
Abstract
We investigate the nature of spectral lines of emitted radiation due to of a non-dissipative single-mode quantized harmonic oscillator (HO) with train of n-chirped Gaussian pulses. Specifically, we analyze the transient emitted spectrum through two window wavelet functions of the radiation detector, namely [...] Read more.
We investigate the nature of spectral lines of emitted radiation due to of a non-dissipative single-mode quantized harmonic oscillator (HO) with train of n-chirped Gaussian pulses. Specifically, we analyze the transient emitted spectrum through two window wavelet functions of the radiation detector, namely the Haar wavelet and Morlet wavelet. Computational display of the exact analytical results shows how the driving pulse parameters (strength and number of pulses, chirping, repetition time) act as control knobs to shape the detected emitted spectrum as desired. Full article
(This article belongs to the Special Issue Advances in Quantum Field Theory and Applications)
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13 pages, 31174 KiB  
Article
Driven Qubit by Train of Gaussian-Pulses
by Rania A. Alharbey
Mathematics 2021, 9(6), 628; https://doi.org/10.3390/math9060628 - 16 Mar 2021
Cited by 2 | Viewed by 1955
Abstract
The simplest non-dissipative 2-level atom system, a qubit, excited by a train of resonant n-Gaussian laser pulses is investigated. This concerns examination of the averaged atomic variables, the intensity-intensity correlation function, and the transient fluorescent radiation. Analytical formulas for the above expressions are [...] Read more.
The simplest non-dissipative 2-level atom system, a qubit, excited by a train of resonant n-Gaussian laser pulses is investigated. This concerns examination of the averaged atomic variables, the intensity-intensity correlation function, and the transient fluorescent radiation. Analytical formulas for the above expressions are obtained. Computational results show that the transient spectra with the initial ground and coherent atomic states exhibit asymmetric Mollow structure with dip structure, dense oscillation, and narrowing, and depends on the pulse number (n), the repetition time (τR), and the observed time. Full article
(This article belongs to the Special Issue Advances in Quantum Field Theory and Applications)
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