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We construct a quantum theory of free fermion field based on the generalized uncertainty principle using supersymmetry as a guiding principle. A supersymmetric field theory with a real scalar field and a Majorana fermion field is given…

High Energy Physics - Theory · Physics 2008-11-26 Yuuichirou Shibusa

We derive a field theory for the two-dimensional classical dimer model by applying bosonization to Lieb's (fermionic) transfer-matrix solution. Our constructive approach gives results that are consistent with the well-known height theory,…

Statistical Mechanics · Physics 2023-06-01 Neil Wilkins , Stephen Powell

We consider a wide class of two-dimensional models as gauge theories, Gross-Neveu model, $O(N)$ and $CP^{N-1}$-like models using a formalism based on the introduction of bilocal fields that permits to perform easily the large-N expansion of…

High Energy Physics - Theory · Physics 2015-06-26 M. Cavicchi

The implications of N=1 superconformal symmetry for four dimensional quantum field theories are studied. Superconformal covariant expressions for two and three point functions of quasi-primary superfields of arbitrary spin are found and…

High Energy Physics - Theory · Physics 2009-02-23 Hugh Osborn

Chiral antisymmetric tensor fields can have chiral couplings to quarks and leptons. Their kinetic terms do not mix different representations of the Lorentz symmetry and a local mass term is forbidden by symmetry. The chiral couplings to the…

High Energy Physics - Theory · Physics 2008-11-26 C. Wetterich

We study a noncommutative nonrelativistic fermionic field theory in 2+1 dimensions coupled to the Chern-Simons field. We perform a perturbative analysis of model and show that up to one loop the ultraviolet divergences are canceled and the…

High Energy Physics - Theory · Physics 2009-11-10 M. A. Anacleto , M. Gomes , A. J. da Silva , D. Spehler

Quantum integrable models that possess $N=2$ supersymmetry are investigated on the half-space. Conformal perturbation theory is used to identify some $N=2$ supersymmetric boundary integrable models, and the effective boundary…

High Energy Physics - Theory · Physics 2011-07-19 N. P. Warner

We study a massive Thirring-like model in 2-dimensional space-time, which contains two different species of fermions. This model is a field theoretical version of the quantum mechanical model originally proposed by Gl\"{o}ckle, Nogami and…

High Energy Physics - Theory · Physics 2009-10-31 Jiro Sakamoto , Yasunari Heike

We present results from a lattice study of SU(2) color, N=1 supersymmetric Yang-Mills theory using domain wall fermions. Supersymmetry in this particular lattice formulation is expected to emerge in the continuum and chiral limits without…

High Energy Physics - Lattice · Physics 2010-01-21 Michael G. Endres

We consider the perturbative computation of the N-point function of chiral densities of massive free fermions at finite temperature within the thermofield dynamics approach. The infinite series in the mass parameter for the N-point…

High Energy Physics - Theory · Physics 2014-11-18 R. L. P. G. Amaral , L. V. Belvedere , K. D. Rothe

This is a synopsis and extension of Phys.~Rev.~{\em D49} 5408 (1994). The Pseudodual Chiral Model illustrates 2-dimensional field theories which possess an infinite number of conservation laws but also allow particle production, at variance…

High Energy Physics - Theory · Physics 2007-05-23 C. Zachos , T. Curtright

We consider non-supersymmetric large N orientifold field theories. Specifically, we discuss a gauge theory with a Dirac fermion in the anti-symmetric tensor representation. We argue that, at large N and in a large part of its bosonic…

High Energy Physics - Theory · Physics 2009-07-09 A. Armoni , M. Shifman , G. Veneziano

Many two-dimensional classical field theories have hidden symmetries that form an infinite-dimensional algebra. For those examples that correspond to effective descriptions of compactified superstring theories, the duality group is expected…

High Energy Physics - Theory · Physics 2007-05-23 John H. Schwarz

We study a cosmic string solution of an N=1-supersymmetric version of the Cremmer-Scherk-Kalb-Ramond (CSKR) Lagrangian coupled to a vector superfield by means of a topological mass term. The 2-form gauge potential is proposed to couple…

High Energy Physics - Theory · Physics 2009-11-07 C. N. Ferreira , M. B. D. S. M. Porto , J. A. Helayel-Neto

We show how to formulate $2$-dimensional supersymmetric $N=1,2$ theories, both massive and conformal, within a manifestly supersymmetric hamiltonian framework, via the introduction of a (super)-Poisson brackets structure defined on…

High Energy Physics - Theory · Physics 2015-06-26 E. Ivanov , F. Toppan

Construction of integrable field theories in space with a boundary is extended to fermionic models. We obtain general forms of boundary interactions consistent with integrability of the massive Thirring model and study the duality…

High Energy Physics - Theory · Physics 2014-11-18 Takeo Inami , Hitoshi Konno , Yao-Zhong Zhang

Four-dimensional N=2 superconformal field theories have families of protected correlation functions that possess the structure of two-dimensional chiral algebras. In this paper, we explore the chiral algebras that arise in this manner in…

High Energy Physics - Theory · Physics 2022-08-22 Christopher Beem , Wolfger Peelaers , Leonardo Rastelli , Balt C. van Rees

We perform a detailed analysis for the asymptotic behaviour for the multi-scalar field Chiral cosmological scenario. We present the asymptotic behaviour for the one-field, two-fields and three-fields Chiral models. From these results, and…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Andronikos Paliathanasis , Genly Leon

The first massive level of closed bosonic string theory is studied. Free-field equations are derived by imposing Weyl invariance on the world sheet. A two-parameter solution to the equation of motion and constraints is found in two…

High Energy Physics - Theory · Physics 2009-10-31 Andy Wilkins

An effective quantum field theory of the 2D Hubbard model on a square lattice near half-filling is presented and studied. This effective model describes so-called nodal and antinodal fermions, and it is derived from the lattice model using…

Strongly Correlated Electrons · Physics 2023-09-22 Jonas de Woul , Edwin Langmann