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We extend an effective field theory developed to describe rotational bands in even-even nuclei to the odd-mass case. This organizes Bohr and Mottelson's treatment of a particle coupled to a rotor as a model-independent expansion in powers…

Nuclear Theory · Physics 2022-01-05 I. K. Alnamlah , E. A. Coello Pérez , D. R. Phillips

We give a general construction of correlation functions in rational conformal field theory on a possibly non-orientable surface with boundary in terms of 3-dimensional topological quantum field theory. The construction applies to any…

High Energy Physics - Theory · Physics 2007-05-23 Giovanni Felder , Jürg Fröhlich , Jürgen Fuchs , Christoph Schweigert

We argue that rational conformally invariant quantum field theories in two dimensions are closely related to torsion elements of the algebraic K-theory group K_3(C). If such a theory has an integrable matrix perturbation with purely elastic…

High Energy Physics - Theory · Physics 2007-05-23 Werner Nahm

The study of Riemann surfaces with parametrized boundary components was initiated in conformal field theory (CFT). Motivated by general principles from Teichmueller theory, and applications to the construction of CFT from vertex operator…

Mathematical Physics · Physics 2007-05-23 David Radnell , Eric Schippers

Quantum groups in general and the quantum Anti-de Sitter group $U_q(so(2,3))$ in particular are studied from the point of view of quantum field theory. We show that if $q$ is a suitable root of unity, there exist finite-dimensional, unitary…

High Energy Physics - Theory · Physics 2008-02-03 Harold Steinacker

Motivated by the search for rational points in moduli spaces of two-dimensional conformal field theories, we investigate how points with enhanced symmetry algebras are distributed there. We first study the bosonic sigma-model with $S^1$…

High Energy Physics - Theory · Physics 2021-04-28 Nathan Benjamin , Christoph A. Keller , Hirosi Ooguri , Ida G. Zadeh

The effective fractional charges like 17/4 or 19/4 are explained by our angular momentum theory. These fractions do not arise from the odd denominator rule. Due to spin polarization for both of these along the magnetic field, these states…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Keshav N. Shrivastava

We define C*-algebras on a Fock space such that the Hamiltonians of quantum field models with positive mass are affiliated to them. We describe the quotient of such algebras with respect to the ideal of compact operators and deduce…

Mathematical Physics · Physics 2007-05-23 Vladimir Georgescu

Physical principles such as unitarity, causality, and locality can constrain the space of consistent effective field theories (EFTs) by imposing two-sided bounds on the allowed values of Wilson coefficients. In this paper, we consider the…

High Energy Physics - Theory · Physics 2023-03-20 Mariana Carrillo Gonzalez , Claudia de Rham , Victor Pozsgay , Andrew J. Tolley

Effective Field Theory (EFT) provides a powerful framework that exploits a separation of scales in physical systems to perform systematically improvable, model-independent calculations. Particularly interesting are few-body systems with…

Nuclear Theory · Physics 2009-11-11 H. -W. Hammer

We present in detail an Effective Field Theory (EFT) formulation for the essential case of spinning objects as the components of inspiralling compact binaries. We review its implementation, carried out in a series of works in recent years,…

General Relativity and Quantum Cosmology · Physics 2018-09-27 Michele Levi

As is well-known, nonunitary RCFTs are distinguished from unitary ones in a number of ways, two of which are that the vacuum 0 doesn't have minimal conformal weight, and that the vacuum column of the modular S matrix isn't positive. However…

High Energy Physics - Theory · Physics 2010-11-19 T. Gannon

The aim of this article is to calculate (to first order in $\hbar$) the renormalized effective action of a self interacting massive scalar field propagating in the space-time due to a cylindrically symmetric, rotating body. The vacuum…

High Energy Physics - Theory · Physics 2007-05-23 J. A. Briginshaw

The quantum symmetry of a rational quantum field theory is a finite- dimensional multi-matrix algebra. Its representation category, which determines the fusion rules and braid group representations of superselection sectors, is a braided…

High Energy Physics - Theory · Physics 2014-11-18 Jürgen Fuchs

There are many possible gravitational applications of an effective approach to Quantum Field Theory (QFT) in curved space. We present a brief review of effective approach and discuss its impact for such relevant issues as the cosmological…

High Energy Physics - Theory · Physics 2015-06-26 Ilya L. Shapiro

We discuss quantum theory of fields \phi defined on (d+1)-dimensional manifold {\cal M} with a boundary {\cal B}. The free action W_{0}(\phi) which is a bilinear form in \phi defines the Gaussian measure with a covariance (Green function)…

High Energy Physics - Theory · Physics 2009-11-11 Z. Haba

This is part 1 of 3 from the master's thesis: Modeling Compact Objects with Effective Field Theory, supervised by Amanda Weltman. Using the Effective Field Theory framework for extended objects and the coset construction, we build the…

High Energy Physics - Theory · Physics 2023-01-26 Irvin Martinez

The goal of this paper is to present a formalism that allows to handle four-fermion effective theories at finite temperature and density in curved space. The formalism is based on the use of the effective action and zeta function…

High Energy Physics - Theory · Physics 2015-03-17 Antonino Flachi , Takahiro Tanaka

Conformal field theory on the half-space x>0 of Minkowski space-time ("boundary CFT") is analyzed from an algebraic point of view, clarifying in particular the algebraic structure of local algebras and the bi-localized charge structure of…

Mathematical Physics · Physics 2011-04-06 Roberto Longo , Karl-Henning Rehren

Starting from an abelian rigid braided monoidal category C we define an abelian rigid monoidal category C_F which captures some aspects of perturbed conformal defects in two-dimensional conformal field theory. Namely, for V a rational…

High Energy Physics - Theory · Physics 2010-02-23 Dimitrios Manolopoulos , Ingo Runkel
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