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The perturbative approach to the topological quantum field theories of the Chern-Simons type formulated in R^3 is considered. By means of the canonical quantization of the euclidean Chern-Simons lagrangian in the Landau gauge, a Fock space…

High Energy Physics - Theory · Physics 2015-05-30 Enore Guadagnini

We show that fractional charges bound to topological defects in the recently proposed time-reversal-invariant models on honeycomb and square lattices obey fractional statistics. The effective low-energy description is given in terms of a…

Strongly Correlated Electrons · Physics 2008-10-01 B. Seradjeh , M. Franz

The free energy of effective spin or "Polyakov line" models with a chemical potential, based on the U(N) group, does not depend on the chemical potential. In a mean field-inspired expansion, we show how the condition of unit determinant,…

High Energy Physics - Lattice · Physics 2013-05-30 Jeff Greensite , Kim Splittorff

Strong interactions between electrons in two dimensions can realize phases where their spins and charges separate. We capture this phenomenon within a dual formulation. Focusing on square lattices, we analyze the long-wavelength structure…

Strongly Correlated Electrons · Physics 2022-11-28 Eyal Leviatan , David F. Mross

We develop a field theory for a partially filled Landau level based on composite fermions with a finite vortex core, whose mean-field states are exactly those described by well-tested trial wave functions. Despite non-orthogonality of free…

Condensed Matter · Physics 2007-05-23 Yong-Shi Wu , Yue Yu

We consider Witten's open string field theory in the presence of a non-trivial boundary of spacetime. For the kinetic term, we derive a Gibbons-Hawking-type contribution that has to be added to the action to guarantee a well-defined…

High Energy Physics - Theory · Physics 2025-05-29 Georg Stettinger

We introduce a field-theory framework in which fields transform under the little group, rather than the Lorentz group, specific to each particle type. By utilizing these fields, along with spinor products and the x factor, we construct a…

High Energy Physics - Phenomenology · Physics 2024-08-27 Neil Christensen

In this article, we illustrate how the qualitative phase diagram of a gauge theory coupled to matter can be directly proved and how rigorous numerical bounds may be established. Our work reaffirms the seminal result of Fradkin and Shenker…

Statistical Mechanics · Physics 2009-11-10 Zohar Nussinov

Lorentz- and CPT-violating models of electrodynamics with Chern-Simons terms are typically plagued by various sorts of instabilities. However, when the Chern-Simons term arises from a slow time variation in a pseudoscalar field with an…

High Energy Physics - Theory · Physics 2020-08-11 Sapan Karki , Brett Altschul

We derive an effective field theory for general chaotic two-dimensional conformal field theories with a large central charge. The theory is a specific and calculable instance of a more general framework recently proposed in [1]. We discuss…

High Energy Physics - Theory · Physics 2018-10-22 Felix M. Haehl , Moshe Rozali

Nonlinear field theories can be used to study both standard physics questions, or to study questions such as the emergence of order and complexity. These theories are generally derived from the symmetries of a given problem and the…

Adaptation and Self-Organizing Systems · Physics 2007-09-14 Joel Thorarinson , Marcelo Gleiser

We propose a lattice field theory formulation which overcomes some fundamental difficulties in realizing exact supersymmetry on the lattice. The Leibniz rule for the difference operator can be recovered by defining a new product on the…

High Energy Physics - Lattice · Physics 2018-04-18 Alessandro D'Adda , Noboru Kawamoto , Jun Saito

We briefly review how nonrelativistic effective field theories give us a definition of the QCD potentials and a coherent field theory derived quantum mechanical scheme to calculate the properties of bound states made by two or more heavy…

High Energy Physics - Phenomenology · Physics 2009-01-08 Nora Brambilla

Partons are effective degrees of freedom describing the structure of hadrons involved in high-energy collisions. Familiar theories of partons are QCD light-front quantization and soft-collinear effective theory, both of which are…

High Energy Physics - Phenomenology · Physics 2020-08-12 Xiangdong Ji

Chern-Simons type gauge field is generated by the means of the singular area preserving transformations in the lowest Landau level of electrons forming fractional quantum Hall state. Dynamics is governed by the system of constraints which…

High Energy Physics - Theory · Physics 2009-11-07 M. Eliashvili , G. Tsitsishvili

We apply to a lattice version of the 't~Hooft model, QCD in two space-time dimensions for large number of colours, a method recently proposed to obtain an effective mesonic action starting from the fundamental, fermionic one. The idea is to…

High Energy Physics - Lattice · Physics 2019-04-25 Sergio Caracciolo , Mauro Pastore

We lay down a general framework for how to construct a Topological Quantum Field Theory $Z_A$ defined on shaped triangulations of orientable 3-manifolds from any Pontryagin self-dual locally compact abelian group $A$. The partition function…

Quantum Algebra · Mathematics 2014-09-04 Jørgen Ellegaard Andersen , Rinat Kashaev

We review recent theoretical developments in heavy quarkonium physics from the point of view of Effective Field Theories of QCD. We discuss Non-Relativistic QCD and concentrate on potential Non-Relativistic QCD. Our main goal will be to…

High Energy Physics - Phenomenology · Physics 2008-11-26 Nora Brambilla , Antonio Pineda , Joan Soto , Antonio Vairo

We develop a field-theoretic description of large-scale structure formation by taking the non-relativistic limit of a canonically transformed, real scalar field which is minimally coupled to scalar gravitational perturbations in…

General Relativity and Quantum Cosmology · Physics 2019-12-04 Pavel Friedrich , Tomislav Prokopec

The main limitations of string field theory arise because its present formulation requires a background representing a classical solution, a background defined by a strictly conformally invariant theory. Here we sketch a construction for a…

High Energy Physics - Theory · Physics 2009-10-30 Barton Zwiebach