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Noncommutative field theories are a class of theories beyond the standard model of elementary particle physics. Their importance may be summarized in two facts. Firstly as field theories on noncommutative spacetimes they come with natural…

High Energy Physics - Theory · Physics 2010-12-24 Earnest Akofor

Lorentz invariant quantum field theories (QFTs) with fermions in four spacetime dimensions (4D) have a $\mathbb{Z}_4$ symmetry provided there exists a basis of operators in the QFT where all operators have even operator dimension, $d$,…

High Energy Physics - Theory · Physics 2025-02-04 Christopher W. Murphy

We formulate quantum field theories of massive fields of arbitrary spins. The presence of both physical and fake particles, organized into multiplets, makes it possible to fulfill the requirements of locality, unitarity and…

High Energy Physics - Theory · Physics 2020-07-28 Damiano Anselmi

String theories should reduce to ordinary four-dimensional field theories at low energies. Yet the formulation of the two are so different that such a connection, if it exists, is not immediately obvious. With the Schwinger proper-time…

High Energy Physics - Theory · Physics 2009-10-28 Y. J. Feng , C. S. Lam

Quantum Electrodynamics may be formulated as a Quantum Field Theory , and also as relativistic quantum mechanics by introduction of the Feynman-Stueckelberg parameter. As stated by M. Srednicki ({\it Quantum Field Theory}, Cambridge…

Quantum Physics · Physics 2020-05-05 A. F. Bennett

All elementary particles in nature can be classified as fermions with half-integer spin and bosons with integer spin. Within quantum electrodynamics (QED), even though the spin of the Dirac particle is well defined, there exist open…

Quantum Physics · Physics 2022-06-01 Li-Ping Yang , Farhad. Khosravi , Zubin Jacob

This Ph.D. thesis investigates effective field and string theories in which supersymmetry is realized and broken in various ways. Chapter 1 addresses effective theories with nonlinearly realized supersymmetry, constructed using the…

High Energy Physics - Theory · Physics 2025-07-01 Gabriele Casagrande

We study in detail the Quantum Field Theory of mixing among three generations of Dirac fermions (neutrinos). We construct the Hilbert space for the flavor fields and determine the generators of the mixing transformations. By use of these…

High Energy Physics - Theory · Physics 2009-11-07 Massimo Blasone , Antonio Capolupo , Giuseppe Vitiello

Besides the string scale, string theory has no parameter except some quantized flux values; and the string theory Landscape is generated by scanning over discrete values of all the flux parameters present. We propose that a typical…

High Energy Physics - Theory · Physics 2020-03-12 Stefano Andriolo , Shing Yan Li , S. -H. Henry Tye

We review our recent work on quantum foundations of quantum mechanics, quantum field theory and quantum gravity (formulated as metastring theory) and various implications for the problems of dark matter and dark energy. The first point…

High Energy Physics - Theory · Physics 2020-03-03 Djordje Minic

Phenomenologically viable string vacua may require incorporating Kac-Moody algebras at level $\geq 2$. We exploit the free fermionic formulation to construct N=(0,2) world-sheet supersymmetric string models with specific phenomenological…

High Energy Physics - Theory · Physics 2007-05-23 S. Chaudhuri , S. -W. Chung , G. Hockney , J. Lykken

In a natural extension of the relativity principle we argue that a quantum theory of gravity involves two fundamental scales associated with both dynamical space-time as well as dynamical momentum space. This view of quantum gravity is…

High Energy Physics - Theory · Physics 2015-06-19 Laurent Freidel , Robert G. Leigh , Djordje Minic

A general theory of electric charge is proposed. It is based on two phenomenologies. Electric charge mutation and conservation law. Three charges $\{ +, - ,0\}$ transformations physics succeeds. Quantum field theory underlies corresponding…

General Physics · Physics 2023-02-15 R. Doria , L. S. Mendes

A central problem in quantum condensed matter physics is the critical theory governing the zero temperature quantum phase transition between strongly renormalized Fermi-liquids as found in heavy fermion intermetallics and possibly high Tc…

High Energy Physics - Theory · Physics 2010-04-23 Mihailo Cubrovic , Jan Zaanen , Koenraad Schalm

The 2-dimensional space-time sine-Gordon field theory is extended algebraically within the n-dimensional space of extended complex numbers. This field theory is constructed in terms of an adapted extension of standard vertex operators. A…

High Energy Physics - Theory · Physics 2014-11-18 Pascal Baseilhac

In the four dimensional free fermionic formulation of the heterotic string, a semi-realistic $SU(4)\times SU(2)_L \times SU(2)_R$ model is proposed with three fermion generations in $(4,2,1)+(\bar 4,1,2)$ representations. The gauge symmetry…

High Energy Physics - Phenomenology · Physics 2009-10-28 G. K. Leontaris

We propose a Quantum Field Theory (QFT) approach to neutrino oscillations in vacuum. The neutrino emission and detection are identified with the charged-current vertices of a single second-order Feynman diagram for the underlying process,…

High Energy Physics - Phenomenology · Physics 2023-01-10 Sergey Kovalenko , Fedor Simkovic

Recent work suggests that topological features of certain quantum gravity theories can be interpreted as particles, matching the known fermions and bosons of the first generation in the Standard Model. This is achieved by identifying…

Algebraic Topology · Mathematics 2010-01-15 Sundance Bilson-Thompson , Jonathan Hackett , Louis H. Kauffman

We find solutions of Einstein's field equation for topologically stable strings associated with the breaking of a U(1) symmetry. Strings form in many GUTs and are expected whenever the homotopy group $\Pi_1(M_0)$ is non-trivial. The…

Astrophysics · Physics 2009-10-22 Charles C. Dyer , Francine R. Marleau

We develop a group-theoretical approach to the formulation of generalized abelian gauge theories, such as those appearing in string theory and M-theory. We explore several applications of this approach. First, we show that there is an…

High Energy Physics - Theory · Physics 2008-11-26 Daniel S. Freed , Gregory W. Moore , Graeme Segal