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We present a method to extract the low energy behavior of physical observables from their high energy expansions, systematically calculable via the operator product expansion (OPE), in asymptotically free and mass-gapped theories. By…

High Energy Physics - Theory · Physics 2024-09-23 Hiromasa Takaura

We formulated a field theory in space-time elements, which are obtained by dividing the space-time continuum into arbitrary-shaped space-time elements, such as hyper-octahedra (orthoplexes), which are aligned locally periodically, without…

General Physics · Physics 2023-03-06 Kimichika Fukushima , Hikaru Sato

We derive a non-perturbative equation for the large scale structure power spectrum of long-wavelength modes. Thereby, we use an operator product expansion together with relations between the three-point function and power spectrum in the…

Cosmology and Nongalactic Astrophysics · Physics 2016-02-19 Mathias Garny , Thomas Konstandin , Rafael A. Porto , Laura Sagunski

Ultraviolet self-interaction energies in field theory sometimes contain meaningful physical quantities. The self-energies in such as classical electrodynamics are usually subtracted from the rest mass. For the consistent treatment of…

General Physics · Physics 2018-04-24 Kimichika Fukushima , Hikaru Sato

The Wilsonian renormalization group implies that an arbitrary four dimensional field theory with an ultraviolet cutoff is equivalent to a theory which is renormalizable by power counting at energy scales much below the cutoff. This applies…

High Energy Physics - Theory · Physics 2009-10-31 Hidenori Sonoda

We demonstrate how masses of new states, beyond direct experimental reach, could nevertheless be extracted in the framework of effective field theory (EFT), given broad assumptions on the underlying UV physics, however not sticking to a…

High Energy Physics - Phenomenology · Physics 2017-11-10 Florian Goertz

Fields in spacetime could be simultaneously discrete and continuous, in the same way that information can: it has been shown that the amplitudes, \phi(x_n), that a field takes at a generic discrete set of points, x_n, can be sufficient to…

General Relativity and Quantum Cosmology · Physics 2010-03-25 Achim Kempf

A detailed investigation of the low-energy chiral expansion is presented within a model truncation of QCD. The model dependence of the chiral coefficients is tested for several forms of the quark-quark interaction by varying the form of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Thomas Meissner , Michael Frank

In the present paper we consider the problem of Laplace deconvolution with noisy discrete non-equally spaced observations on a finite time interval. We propose a new method for Laplace deconvolution which is based on expansions of the…

Methodology · Statistics 2015-03-17 Fabienne Comte , Charles-A. Cuenod , Marianna Pensky , Yves Rozenholc

Starting from non-minimal supergravity theory with unified gauge symmetry, we obtain the low-energy effective theory by taking the flat limit and integrating out the superheavy fields in a model-independent manner. The scalar potential has…

High Energy Physics - Phenomenology · Physics 2011-04-15 Yoshiharu Kawamura

Reconstructing spectral densities from Euclidean lattice correlators requires an inverse Laplace transform, which is inherently ill-conditioned when applied to numerical data with statistical uncertainties. The maximum amount of information…

High Energy Physics - Lattice · Physics 2026-05-18 Ryutaro Tsuji , Shoji Hashimoto

The use of finite harmonic oscillator spaces in many-body calculations introduces both infrared (IR) and ultraviolet (UV) errors. The IR effects are well approximated by imposing a hard-wall boundary condition at a properly identified…

Nuclear Theory · Physics 2014-12-30 S. König , S. K. Bogner , R. J. Furnstahl , S. N. More , T. Papenbrock

The problem of describing low-energy two-body scattering for systems with two open channels with different thresholds is addressed in the context of an effective field theory. In particular, the problem where the threshold is unnaturally…

Nuclear Theory · Physics 2009-11-10 Thomas D. Cohen , Boris A. Gelman , U. van Kolck

The properties of strongly gravitating systems suggest that field theory overcounts the states of a system. Reducing the number of degrees of freedom, without abandoning the notion of effective field theory, may be achieved through a…

High Energy Physics - Theory · Physics 2009-02-10 Nikolaos Tetradis

Various physical quantities -- including real-time response, inclusive cross-sections, and decay rates -- may not be directly determined from Euclidean correlators. They are, however, easily determined from the spectral density, motivating…

High Energy Physics - Lattice · Physics 2024-08-22 Scott Lawrence

The perturbative dynamics of quantum field theories is described by a recursive expansion similar to the well known loop expansion. The equivalent formulation based on low-energy dynamics via an expansion in derivatives is well known in the…

General Physics · Physics 2007-05-23 Gordon Chalmers

We complete the derivation of the conservative dynamics of binary systems to fourth Post-Newtonian (4PN) order in the effective field theory (EFT) approach. We present a self-contained (ambiguity-free) computation of the renormalized…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Stefano Foffa , Rafael A. Porto , Ira Rothstein , Riccardo Sturani

In a recent article, C. Bardos et. al. constructed weak solutions of the three-dimensional incompressible Euler equations which emerge from two-dimensional initial data yet become fully three-dimensional at positive times. They asked…

Analysis of PDEs · Mathematics 2013-10-23 Emil Wiedemann

We derive the first positivity bounds for low-energy Effective Field Theories (EFTs) that are not invariant under Lorentz boosts. "Positivity bounds" are the low-energy manifestation of certain fundamental properties in the UV -- to date…

High Energy Physics - Theory · Physics 2022-07-12 Tanguy Grall , Scott Melville

We study how physical information can be extracted from a background independent quantum system. We use an extremely simple `minimalist' system that models a finite region of 3d euclidean quantum spacetime with a single equilateral…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Carlo Rovelli , Daniele Colosi , Luisa Doplicher , Winston Fairbairn , Leonardo Modesto , Karim Noui
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