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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

Presented is a quantum gravity theory that is a quantum mechanical generalization of Einstein's vierbein field-based approach, where the classical metric tensor field is promoted to a quantum mechanical metric tensor field operator. The…

General Relativity and Quantum Cosmology · Physics 2019-08-02 Jeffrey Yepez

We evaluate the dispersion relation for massless fermions, described by the Dirac equation, and for zero-spin bosons, described by the Klein-Gordon equation, moving in two dimensions and in the presence of a one-dimensional periodic…

Mesoscale and Nanoscale Physics · Physics 2015-03-17 M. Barbier , F. M. Peeters , P. Vasilopoulos , J. Milton Pereira

A Lorentz violating modification of massless QED is proposed, with higher order space derivatives for the photon field. The fermion dynamical mass generation is studied with the Schwinger-Dyson approach. Perturbative properties of the model…

High Energy Physics - Theory · Physics 2013-03-11 Jean Alexandre , Ariadni Vergou

Driving a quantum system out of equilibrium while preserving its subtle quantum mechanical correlations on large scales presents a major challenge, both fundamentally and for technological applications. At its core, this challenge is…

Statistical Mechanics · Physics 2026-01-28 Rohan Mittal , Tom Zander , Johannes Lang , Sebastian Diehl

First, we show that in the $(1,0)\oplus(0,1)$ representation space there exist not one but two theories for charged particles. In the Weinberg construct, the boson and its antiboson carry {\it same} relative intrinsic parity, whereas in our…

High Energy Physics - Theory · Physics 2021-03-25 D. V. Ahluwalia

In this paper we study the problem of neutral electro-weak interactions in a de Sitter geometry. We develop the formalism of reduction for the Proca field with the help of the solutions for the interacting fields and by using perturbative…

High Energy Physics - Theory · Physics 2023-11-27 Diana Dumitrele , Mihaela-Andreea Băloi , Cosmin Crucean

An important hurdle to be faced by any model proposing a resolution to the cosmological constant problem is Weinberg's venerable no go theorem. This theorem states that no local field equations including classical gravity can have a flat…

High Energy Physics - Theory · Physics 2017-12-20 Ichiro Oda

We discuss the possibility to construct an effective quantum field theory for an axial vector coupled to a Dirac spinor field. A massive axial vector describes antisymmetric torsion. The consistency conditions include unitarity and…

High Energy Physics - Theory · Physics 2009-10-31 G. de Berredo-Peixoto , J. A. Helayel-Neto , I. L. Shapiro

One purpose of this proceedings-contribution is to show that at least for free massless particles it is possible to construct an explicit boson theory which is exactly equivalent in terms of momenta and energy to a fermion theory. The…

High Energy Physics - Theory · Physics 2016-02-11 N. S. Mankoc Borstnik , H. B. F. Nielsen

We study the analytical structure of the fermion propagator in planar quantum electrodynamics coupled to a Chern-Simons term within a four-component spinor formalism. The dynamical generation of parity-preserving and parity-violating…

High Energy Physics - Phenomenology · Physics 2010-12-23 Christoph P. Hofmann , Alfredo Raya , Saúl Sánchez Madrigal

We construct an $SO(10)$ grand unified theory in the formulation of non-com-\break mutative geometry. The geometry of space-time is that of a product of a continuos four dimensional manifold times a discrete set of points. The properties of…

High Energy Physics - Theory · Physics 2009-10-22 A. H. Chamseddine , J. Fr/''ohlich

A new theory makes testable predictions: (1) Higgs fields have an unconventional equation of motion. (2) Fermions have a second-order coupling to gauge fields. (3) Fermion propagators are modified at high energy. (4) There are new scalar…

High Energy Physics - Phenomenology · Physics 2007-05-23 Roland E. Allen

We analyse different approaches to the description of the quantum field theory of a free massless (pseudo)scalar field defined in 1+1-dimensional space-time which describes the bosonized version of the massless Thirring model. These are (i)…

High Energy Physics - Theory · Physics 2007-05-23 M. Faber , A. N. Ivanov

In the standard model of particle physics, all fermions are fundamentally massless and only acquire their effective bare mass when the Higgs field condenses. Therefore, in a fundamental de Broglie-Bohm pilot-wave quantum field theory (valid…

Quantum Physics · Physics 2011-08-24 Samuel Colin , Howard M Wiseman

We here provide further details on the construction and properties of mass dimension one quantum fields based on Elko expansion coefficients. We show that by a judicious choice of phases, the locality structure can be dramatically improved.…

High Energy Physics - Theory · Physics 2010-04-12 D. V. Ahluwalia , Cheng-Yang Lee , D. Schritt

It is observed that certain convex envelopes of Wightman type functionals corresponding to scalar, stochastically positive quantum fields consist of Wightman type functionals only .This leads to the construction of a large classes of not…

Mathematical Physics · Physics 2018-03-28 Gielerak Roman

We discuss the structure of the non-perturbative fermion-boson vertex in quenched QED. We show that it is possible to construct a vertex which not only ensures that the fermion propagator is multiplicatively renormalizable, obeys the…

High Energy Physics - Phenomenology · Physics 2009-10-28 A. Bashir , M. R. Pennington

The Schwinger mechanism, the production of charged particle-antiparticle pairs in a macroscopic external electric field, is derived for 2+1 dimensional theories. The rate of pair production per unit area for four species of massless…

Mesoscale and Nanoscale Physics · Physics 2009-02-23 Danielle Allor , Thomas D. Cohen , David A. McGady

We show how a nonlocal gravitational interaction can circumvent the Weinberg no-go theorem on cosmological constant, which forbids the existence of any solution to the cosmological constant problem within the context of local field theories…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Salvatore Capozziello , Anupam Mazumdar , Giuseppe Meluccio