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In this paper we discuss two constructions of an effective field theory starting from a local interaction functional. One relies on the well-established graphical combinatorics of the BPHZ algorithm to renormalize divergent Feynman…

Mathematical Physics · Physics 2017-05-17 Alastair Hamilton

We study conformal field theory on two-dimensional orbifolds and show this to be an effective way to analyze physical effects of geometric singularities with angular deficits. They are closely related to boundaries and cross caps.…

High Energy Physics - Theory · Physics 2014-11-18 Zheng Yin

We present a model-independent approach to electric quadrupole transitions of deformed nuclei. Based on an effective theory for axially symmetric systems, the leading interactions with electromagnetic fields enter as minimal couplings to…

Nuclear Theory · Physics 2015-07-29 E. A. Coello Pérez , T. Papenbrock

A resolution over the existence of magnetic charges has eluded the high energy physics community for centuries, and their search has gained momentum as recent models predict these may be observable at current colliders. They appear in field…

High Energy Physics - Phenomenology · Physics 2019-05-23 Stephanie Baines

This is a set of introductory lecture notes devoted to the Wess-Zumino-Witten model of two-dimensional conformal field theory. We review the construction of the exact solution of the model from the functional integral point of view. The…

High Energy Physics - Theory · Physics 2007-05-23 Krzysztof Gawedzki

We reproduce the two-body gravitational conservative dynamics at third post-Newtonian order for spin-less sources by using the effective field theory methods for the gravitationally bound two-body system, proposed by Goldberger and…

General Relativity and Quantum Cosmology · Physics 2015-03-19 S. Foffa , R. Sturani

I review the effective field theory (EFT) description of gravitating compact objects. The focus is on kinematic regimes where gravity is perturbative, in particular the adiabatic inspiral phase relevant to gravitational wave detection. For…

High Energy Physics - Theory · Physics 2022-12-14 Walter D. Goldberger

We revisit the boundary conformal field theory of twist fields. Based on the equivalence between twisted bosons on a circle and the orbifold theory at the critical radius, we provide a bosonized representation of boundary twist fields and…

High Energy Physics - Theory · Physics 2018-07-20 Luca Mattiello , Ivo Sachs

We present an effective field theory model for QCD at finite temperature with quarks. We discuss the mean field theory, the fixing of parameters, and a prediction for the curvature of the critical line. We proceed to write down a pionic…

High Energy Physics - Phenomenology · Physics 2018-03-14 Sourendu Gupta , Rishi Sharma

We describe an effective theory of a scalar field, motivated by some features expected in the low energy theory of gluodynamics in 3+1 dimensions. The theory describes two propagating massless particles in a certain limit, which we identify…

High Energy Physics - Theory · Physics 2013-12-16 Ibrahim Burak Ilhan , Alex Kovner

Quark-antiquark bound states are examined in the long-range strong-coupling limit with the minimal area law of lattice gauge theory assumed as input. Matrix element relations are established which in the effective theory obtain dynamical…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. G. Olsson , S. Veseli , K. Williams

Let $\mathcal{T}$ be a locally finite tree, $\Gamma$ be a discrete subgroup of $\textrm{Aut}(\mathcal{T})$ and $\widetilde{F}$ be a $\Gamma$-invariant potential. Suppose that the length spectrum of $\Gamma$ is not arithmetic. In this case,…

Dynamical Systems · Mathematics 2015-06-16 Sanghoon Kwon

Recently, using the assumption that the string theory effective action at the critical dimension is background independent, the classical on-shell effective action of the bosonic string theory at order $\alpha'$ in a spacetime manifold…

High Energy Physics - Theory · Physics 2022-01-19 Mohammad R. Garousi

The first part is expository: it explains how finite fields may be used to prove theorems on infinite fields by a reduction mod p process. The second part gives a variant of P.Smith's fixed point theorem which applies in any characteristic.

Algebraic Geometry · Mathematics 2009-03-25 Jean-Pierre Serre

We introduce an effective field theory to study \emph{indirect} mixing of two fields induced by their couplings to a common decay channel in a medium. The extension of the method of Lee, Oehme and Yang, the cornerstone of analysis of CP…

High Energy Physics - Phenomenology · Physics 2024-03-04 Shuyang Cao , Daniel Boyanovsky

The problem of bound states in effective field theories is studied. A rescaled version of nonrelativistic effective field theory is formulated which makes the velocity power counting of operators manifest. Results obtained using the…

High Energy Physics - Phenomenology · Physics 2016-09-06 Michael Luke , Aneesh V. Manohar

We develop the representation of free spinor fields in the bulk of Lorentzian anti-de Sitter space in terms of smeared operators in the dual conformal field theory. To do this we expand the bulk field in a complete set of normalizable…

High Energy Physics - Theory · Physics 2020-03-18 Valentino F. Foit , Daniel Kabat , Gilad Lifschytz

Effective Field Theory (EFT) is an efficient method for parametrizing unknown high energy physics effects on low energy data. When applied to time-dependent backgrounds, EFT must be supplemented with initial conditions. In these…

High Energy Physics - Theory · Physics 2007-05-23 M. Porrati

The presence of a boundary (or defect) in a conformal field theory allows one to generalize the notion of an exactly marginal deformation. Without a boundary, one must find an operator of protected scaling dimension $\Delta$ equal to the…

High Energy Physics - Theory · Physics 2020-02-19 Christopher P. Herzog , Itamar Shamir

The phenomenological two-level atom is re-analysed using the methods of effective field theory. By presenting the Dicke-Jaynes-Cummings model in real space, an exact diagonalization is accomplished going beyond the rotating wave…

Quantum Physics · Physics 2007-05-23 Mark Burgess