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We review recent developments in functional renormalization group (RG) methods for interacting fermions. These approaches aim at obtaining an unbiased picture of competing Fermi liquid instabilities in the low-dimensional models like the…

Strongly Correlated Electrons · Physics 2007-05-23 Carsten Honerkamp

A new dynamical symmetry breaking model of electroweak interactions is proposed based on interacting fermions. Two fermions of different SU_{L}(2) representations form a symmetry breaking condensate and generate the lepton and quark masses.…

High Energy Physics - Phenomenology · Physics 2009-01-07 G. Cynolter , E. Lendvai , G. Pocsik

Contributions to the bound-state dynamics of fermions in local quantum field theory from the region of large relative momenta of the constituent particles, are studied and compared in two different approaches. The first approach is…

High Energy Physics - Theory · Physics 2009-11-07 Stanislaw D. Glazek , Marek Wieckowski

We derive quantum kinetic equations for fermions in a homogeneous time-dependent background in presence of decohering collisions, by use of the Schwinger-Keldysh CTP-formalism. The quantum coherence (between particles and antiparticles) is…

High Energy Physics - Phenomenology · Physics 2009-03-24 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

The effective Lagrangian and mass operator are calculated for planar charged massive and massless fermions in a constant external homogeneous magnetic field in the one-loop approximation of the 2+1 dimensional quantum electrodynamics…

High Energy Physics - Phenomenology · Physics 2019-03-27 V. R. Khalilov

We construct entanglement renormalization schemes which provably approximate the ground states of non-interacting fermion nearest-neighbor hopping Hamiltonians on the one-dimensional discrete line and the two-dimensional square lattice.…

We reexamine the dynamical generation of mass for fermions charged under various Lie groups with equal charge and mass at a high Grand Unification scale, extending the Renormalization Group Equations in the perturbative regime to two-loops…

High Energy Physics - Phenomenology · Physics 2019-05-22 Felipe J. Llanes-Estrada , Alexandre Salas-Bernárdez

Symmetric mass generation is a novel mechanism to give gapless fermions a mass gap by non-perturbative interactions without generating any fermion bilinear condensation. The previous studies of symmetric mass generation have been limited to…

Strongly Correlated Electrons · Physics 2023-05-23 Da-Chuan Lu , Meng Zeng , Juven Wang , Yi-Zhuang You

The application of the nonperturbative renormalisation group approach to a system with two fermion species is studied. Assuming a simple ansatz for the effective action with effective bosons, describing pairing effects we derive a set of…

Nuclear Theory · Physics 2016-09-08 Boris Krippa

A new density matrix and corresponding quantum kinetic equations are introduced for fermions undergoing coherent evolution either in time (coherent particle production) or in space (quantum reflection). A central element in our derivation…

High Energy Physics - Phenomenology · Physics 2009-02-02 Matti Herranen , Kimmo Kainulainen , Pyry Matti Rahkila

This paper studies false vacuum lumps surrounded by the true vacuum in a real scalar field potential in flat spacetime. Fermions reside in the core of the lump, which are coupled with the scalar field via Yukawa interaction. Such lumps are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ramin G. Daghigh

Renormalization group equations play a central role in effective field theories, both maintaining perturbative control and allowing one to determine the correct low-energy phenomenology. In this work, we complete the one-loop…

High Energy Physics - Phenomenology · Physics 2025-12-19 Renato M. Fonseca , Pablo Olgoso , José Santiago

Understanding the non-equilibrium dynamics of extended quantum systems after the trigger of a sudden, global perturbation (quench) represents a daunting challenge, especially in the presence of interactions. The main difficulties stem from…

Strongly Correlated Electrons · Physics 2009-11-13 Alexandre Faribault , Pasquale Calabrese , Jean-Sebastien Caux

The description of the electromagnetic interaction in two-dimensional Dirac materials, such as graphene and transition-metal dichalcogenides, in which electrons move in the plane and interact via virtual photons in 3d, leads naturally to…

High Energy Physics - Theory · Physics 2021-05-26 Luis Fernández , Van Sérgio Alves , M. Gomes , Leandro O. Nascimento , Francisco Peña

We implement an explicit two-loop calculation of the coupling functions and the self-energy of interacting fermions with a two-dimensional flat Fermi surface in the framework of the field theoretical renormalization group (RG) approach.…

Strongly Correlated Electrons · Physics 2009-11-10 H. Freire , E. Correa , A. Ferraz

We construct renormalizable Standard Model extensions, valid up to the Planck scale, that give a composite Higgs from a new fundamental strong force acting on fermions and scalars. Yukawa interactions of these particles with Standard Model…

High Energy Physics - Phenomenology · Physics 2016-11-23 Francesco Sannino , Alessandro Strumia , Andrea Tesi , Elena Vigiani

We present models in which the observed fermion masses and mixings are generated by dynamically localizing the three generations of matter in a flat compact extra dimension. We first construct models assuming the hierarchy problem is…

High Energy Physics - Phenomenology · Physics 2010-02-03 David E. Kaplan , Tim M. P. Tait

In the standard model, the permutation symmetry among the three generations of fundamental fermions is usually regarded to be broken by the Higgs couplings. It is found that the symmetry is restored if we include the mass matrix parameters…

High Energy Physics - Phenomenology · Physics 2020-09-17 T. K. Kuo , S. H. Chiu

The one-loop renormalization of the action for a set Dirac fermions and a set of scalars spanning an arbitrary manifold coupled via Yukawa-like and gauge interactions is presented. The computation is performed with functional methods and in…

High Energy Physics - Phenomenology · Physics 2018-02-21 R. Alonso , K. Kanshin , S. Saa

We present the fermionic universal one--loop effective action obtained by integrating out heavy vector--like fermions at one loop using functional techniques. Even though previous approaches are able to handle integrating out heavy fermions…

High Energy Physics - Phenomenology · Physics 2021-02-03 Andrei Angelescu , Peisi Huang
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