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In this review we study quantum field theories and conformal field theories with global symmetries in the limit of large charge for some of the generators of the symmetry group. At low energy the sectors of the theory with large charge are…

High Energy Physics - Theory · Physics 2021-10-27 Luis Álvarez Gaumé , Domenico Orlando , Susanne Reffert

A natural extension of the Dijkgraaf-Vafa proposal is to include fields in the fundamental representation of the gauge group. In this paper we use field theory techniques to analyze gauge theories whose tree level superpotential is a…

High Energy Physics - Theory · Physics 2009-11-07 Iosif Bena , Radu Roiban , Radu Tatar

The topological charge in the $\U(N)$ vector-like reduced model can be defined by using the overlap Dirac operator. We obtain its large $N$ limit for a fermion in a general gauge-group representation under a certain restriction of gauge…

High Energy Physics - Lattice · Physics 2009-11-10 Teruaki Inagaki , Yoshio Kikukawa , Hiroshi Suzuki

We give in this paper which is the fifth in a series of eight a theory of covariant derivatives of multivector and extensor fields based on the geometric calculus of an arbitrary smooth manifold M, and the notion of a connection extensor…

Differential Geometry · Mathematics 2007-05-23 A. M. Moya , V. V. Fernadez , W. A. Rodrigues

We discuss electroweak constraints on TeV scale extensions of the standard model. To obtain model-independent results, effective theory approach is adopted. Constraints are given on arbitrary linear combinations of a set of dimension-6…

High Energy Physics - Phenomenology · Physics 2008-11-26 Zhenyu Han

The possibility of radiative effects induced by the Lorentz and CPT non-invariant interaction term for fermions in the Standard Model Extension is investigated. In particular, electron-positron photo-production and photon emission by…

High Energy Physics - Phenomenology · Physics 2009-11-11 V. Ch. Zhukovsky , A. E. Lobanov , E. M. Murchikova

We present a development of strong-coupling diagrammatic techniques which relies on integrating out mean-field-like paths prior to conducting the expansion. This makes it possible to expand around a state with a quasiparticle spectrum that…

Strongly Correlated Electrons · Physics 2021-11-12 Johan Carlström

The well-known physical equivalence drawn from hole theory is applied in this article. The author suggests to replace, in the part of Feynman diagram which cannot be fixed by experiments, each fermion field operator, and hence fermion…

High Energy Physics - Theory · Physics 2011-04-20 Ji Sun

We discuss periodic compactification and latticization of a 5-D U(1) theory with a Dirac fermion, yielding a 1+3 effective theory. We address subtleties in the lattice fermionic action,such as fermion doubling and the Wilson term. We…

High Energy Physics - Phenomenology · Physics 2009-11-07 Christopher T. Hill , Adam K. Leibovich

We consider a dark sector model containing stable fermions charged under an unbroken $U(1)$ gauge interaction, with a massless dark photon as force carrier, and interacting with ordinary matter via scalar messengers. We study its early…

High Energy Physics - Phenomenology · Physics 2020-10-14 Jan Tristram Acuña , Marco Fabbrichesi , Piero Ullio

We construct the effective field theory of the Calogero-Sutherland model in the thermodynamic limit of large number of particles $N$. It is given by a $\winf$ conformal field theory (with central charge $c=1$) that describes {\it exactly}…

High Energy Physics - Theory · Physics 2009-10-28 R. Caracciolo , A. Lerda , G. R. Zemba

We derive norm bounds that imply the convergence of perturbation theory in fermionic quantum field theory if the propagator is summable and has a finite Gram constant. These bounds are sufficient for an application in renormalization group…

Mathematical Physics · Physics 2015-06-26 Manfred Salmhofer , Christian Wieczerkowski

Mixed action theories with chirally symmetric valence fermions exhibit very desirable features both at the level of the lattice calculations as well as in the construction and implementation of the low energy mixed action effective field…

High Energy Physics - Lattice · Physics 2010-05-12 Jiunn-Wei Chen , Donal O'Connell , Andre Walker-Loud

We derive the field-dependent masses in Fermi gauges for arbitrary scalar extensions of the Standard Model. These masses can be used to construct the effective potential for various models of new physics. We release a flexible…

High Energy Physics - Phenomenology · Physics 2022-12-09 Jonathan Zuk , Csaba Balazs , Andreas Papaefstathiou , Graham White

A major task in phenomenology today is constraining the parameter space of SMEFT and constructing models of fundamental physics that the SM derives from. To this effect, we report an exhaustive list of sum rules for 4-fermion operators of…

High Energy Physics - Phenomenology · Physics 2022-06-29 Aleksandr Azatov , Diptimoy Ghosh , Amartya Harsh Singh

We perform the study of perturbative aspects of a three-dimensional supersymmetric Maxwell-Chern-Simons-Proca theory minimally coupled to scalar superfields. Using the superfield formalism, we derive the propagators for both gauge and…

High Energy Physics - Theory · Physics 2025-06-10 A. C. Lehum , J. R. Nascimento , A. C. Pina Neto , A. Yu. Petrov

We improve and expand in two directions the theory of norms on complex matrices induced by random vectors. We first provide a simple proof of the classification of weakly unitarily invariant norms on the Hermitian matrices. We use this to…

Functional Analysis · Mathematics 2023-10-26 Ángel Chávez , Stephan Ramon Garcia , Jackson Hurley

As a first step towards constructing chiral models on the lattice with staggered fermions, we study a U(1) model with axial-vector coupling to an external gauge field in two dimensions. In our approach gauge invariance is broken, but it is…

High Energy Physics - Lattice · Physics 2009-10-22 Wolfgang Bock , Jan Smit , Jeroen C. Vink

This paper is concerned with a way of thinking about the standard model that explains the existence of three fermion families and the value of the fine structure constant. The main idea is that the ultraviolet divergences that we encounter…

General Physics · Physics 2018-07-23 J. Lemmon

The observed hierarchy of fermion masses and mixings may be generated by renormalization group flow if the Standard Model is coupled to a near-conformal sector at high energies. If the conformal sector is supersymmetric, these effects are…

High Energy Physics - Phenomenology · Physics 2010-07-14 Nathaniel Craig
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