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A non perturbative proof of the mass generation of fermions via the Higgs mechanism is given. This is done by showing exponential decay of the two point fermionic correlation function in a weakly coupled U(1) Higgs-Yukawa theory on a unit…

Mathematical Physics · Physics 2023-03-07 Abhishek Goswami

We study the dynamical generation of masses for fundamental fermions in quenched quantum electrodynamics, in the presence of magnetic fields of arbitrary strength, by solving the Schwinger-Dyson equation (SDE) for the fermion self-energy in…

High Energy Physics - Phenomenology · Physics 2008-11-26 Eduardo Rojas , Alejandro Ayala , Adnan Bashir , Alfredo Raya

Dynamical generation of 4d gauge theories and gravity at low energy from the 3d ones at high energy is studied, based on the fermion condensation mechanism recently proposed by Arkani-Hamed, Cohen and Georgi. For gravity, 4d Einstein…

High Energy Physics - Theory · Physics 2009-11-07 Akio Sugamoto

According to one-loop perturbation theory, fermions whose masses are totally generated from Yukawa couplings do not decouple in the heavy mass limit. We investigate this issue nonperturbatively in a 4-dimensional $Z_2$ scalar-fermion model…

High Energy Physics - Lattice · Physics 2009-10-28 Lee Lin

We derive the interaction of fermions with a dynamical space-time based on the postulate that the description of physics should be independent of the reference frame, which means to require the form-invariance of the fermion action under…

General Relativity and Quantum Cosmology · Physics 2021-08-31 Jürgen Struckmeier , David Vasak

We investigate dynamical mass generation in pseudo-Proca quantum electrodynamics (PPQED) using Schwinger--Dyson equations in rainbow-quenched and unquenched approximations. The (3+1)D gauge-field mass $m$, fine-structure constant $\alpha$,…

High Energy Physics - Theory · Physics 2025-11-18 Helio G. Barroso , Van Sérgio Alves , Leandro O. Nascimento

In the Standard Model of elementary particles the fermions are assumed to be intrinsically massless. Here we propose a new theoretical idea of fermion mass generation (other than by the Higgs mechanism) through the coupling with the vector…

High Energy Physics - Phenomenology · Physics 2025-08-26 Eckart Marsch , Yasuhito Narita

A single mass-less fermionic field with an abelian U(1) gauge interaction (electrodynamics of a mass-less Dirac fermion) is studied by a variational method. Even without the insertion of any extra interaction the vacuum is shown to be…

High Energy Physics - Phenomenology · Physics 2009-11-10 Fabio Siringo

We study the Infra Red (IR) limit of dispersion relations for scalar and fermion fields in a Lifshitz-type Yukawa model, after dressing by quantum fluctuations. Relativistic-like dispersion relations emerge dynamically in the IR regime of…

High Energy Physics - Phenomenology · Physics 2010-12-24 J. Alexandre , N. E. Mavromatos , D. Yawitch

Taking inspiration from lattice QCD results, we argue that a non-perturbative mass term for fermions can be generated as a consequence of the dynamical phenomenon of spontaneous chiral symmetry breaking, in turn triggered by the explicitly…

High Energy Physics - Lattice · Physics 2013-12-06 Roberto Frezzotti , GianCarlo Rossi

A nonperturbative Schwinger-Dyson analysis of mass generation is presented for a non-Hermitian PT-symmetric field theory in four dimensions of an axion coupled to a Dirac fermion.The model is motivated by phenomenological considerations.The…

High Energy Physics - Phenomenology · Physics 2023-01-04 N. E. Mavromatos , Sarben Sarkar , A. Soto

Within the superfield formalism, we study the dynamical generation of mass to the gauge superfield in the noncommutative two-dimensional supersymmetric Schwinger model. We show that the radiatively generated mass does not depend on the…

High Energy Physics - Theory · Physics 2012-07-05 A. C. Lehum , J. R. Nascimento , A. Yu. Petrov

We study dynamical symmetry breaking in three-dimensional QED with a Chern-Simons (CS) term, considering the screening effect of $N$ flavor fermions. We find a new phase of the vacuum, in which both the fermion mass and a magnetic field are…

High Energy Physics - Theory · Physics 2009-10-31 Taichi Itoh , Hiroshi Kato

In this mini review, we discuss some recent developments regarding properties of (quantum) field-theory models containing anti-Hermitian Yukawa interactions between pseudoscalar fields (axions) and Dirac (or Majorana) fermions.…

High Energy Physics - Phenomenology · Physics 2021-11-15 Nick E. Mavromatos

Analysing a 3+1 dimensional model with four-Fermi interactions, we show that topological $\BF$ terms (both abelian and non-abelian) can be induced radiatively by massive fermions at the one-loop level. It is further pointed out that a…

High Energy Physics - Theory · Physics 2015-06-26 M. Leblanc , R. MacKenzie , P. K. Panigrahi , R. Ray

We investigate the equal-time (static) quark propagator in Coulomb gauge within the Hamiltonian approach to QCD in $d=2$ spatial dimensions. Although the underlying Clifford algebra is very different from its counterpart in $d=3$, the gap…

High Energy Physics - Phenomenology · Physics 2021-02-03 Felix Spengler , Davide Campagnari , Hugo Reinhardt

We present a class of models based on extended gauged flavour symmetries that address the hierarchical structure of fermion masses in the Standard Model (SM) through the radiative mass generation mechanism. In these frameworks, only…

High Energy Physics - Phenomenology · Physics 2025-07-01 Gurucharan Mohanta

In this letter we try to answer those of the open questions of the Standard model which concern the appearance of families, mass protection mechanism and the Yukawa couplings - by using the approach (proposed by one of us), which suggests a…

High Energy Physics - Phenomenology · Physics 2007-05-23 A. Borstnik Bracic , M. Breskvar , D. Lukman , N. S. Mankoc Borstnik

We investigate the dynamical generation of fermion mass in quantum electrodynamics (QED). This non-perturbative study is performed using a truncated set of Schwinger-Dyson equations for the fermion and the photon propagator. First, we study…

High Energy Physics - Phenomenology · Physics 2007-05-23 J. C. R. Bloch

Weyl fermions of spin $\frac12$ minimally coupled to Einstein's gravity in 4 dimensions cannot be produced purely gravitationally in an expanding Universe at tree level. Surprisingly, as we showed in a recent letter [1], this changes at…

High Energy Physics - Theory · Physics 2024-12-04 Azadeh Maleknejad , Joachim Kopp