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We solve numerically the Einstein-Klein-Gordon system with spherical symmetry, for a massive real scalar field endowed with a quartic self-interaction potential, and obtain the so-called $\Phi^4$-oscillatons which is the short name for…

广义相对论与量子宇宙学 · 物理学 2011-07-18 Susana Valdez-Alvarado , Ricardo Becerril , L. Arturo Urena-Lopez

We study the $O(N)^3$ supersymmetric quantum field theory of a scalar superfield $\Phi_{abc}$ with a tetrahedral interaction. In the large $N$ limit the theory is dominated by the melonic diagrams. We solve the corresponding Dyson-Schwinger…

高能物理 - 理论 · 物理学 2020-02-05 Fedor K. Popov

The Euclidean $(\phi^{4})_{3,\epsilon$ model in $R^3$ corresponds to a perturbation by a $\phi^4$ interaction of a Gaussian measure on scalar fields with a covariance depending on a real parameter $\epsilon$ in the range $0\le \epsilon \le…

高能物理 - 理论 · 物理学 2009-11-07 D. C. Brydges , P. K. Mitter , B. Scoppola

Large order asymptotic behaviour of renormalization constants in the minimal subtraction scheme for the $\phi ^4$ $(4-\epsilon)$ theory is discussed. Well-known results of the asymptotic $4-\epsilon $ expansion of critical indices are shown…

高能物理 - 理论 · 物理学 2007-05-23 J. Honkonen , M. Komarova , M. Nalimov

We study the constraints of crossing symmetry and unitarity in general 3D Conformal Field Theories. In doing so we derive new results for conformal blocks appearing in four-point functions of scalars and present an efficient method for…

高能物理 - 理论 · 物理学 2014-12-05 Sheer El-Showk , Miguel F. Paulos , David Poland , Slava Rychkov , David Simmons-Duffin , Alessandro Vichi

We analyze the free energy and the overlaps in the 2-spin spherical Sherrington Kirkpatrick spin glass model with an external field for the purpose of understanding the transition between this model and the one without an external field. We…

无序系统与神经网络 · 物理学 2021-05-26 Jinho Baik , Elizabeth Collins-Woodfin , Pierre Le Doussal , Hao Wu

We present a factorized decomposition of 4-point scalar conformal blocks near the lightcone, which applies to arbitrary intermediate spin and general spacetime dimensions. Then we discuss the systematic expansion in large intermediate spin…

高能物理 - 理论 · 物理学 2021-05-20 Wenliang Li

In the framework of the chiral perturbation theory we computed two- and three-loop corrections to the pion parton distributions which posses $\delta$-function singularities at x->0. This calculation explicitly demonstrates that in the…

高能物理 - 唯象学 · 物理学 2008-11-26 N. Kivel , M. V. Polyakov

We construct the effective field theory for a single massive higher-spin particle in flat spacetime. Positivity bounds of the S-matrix force the cutoff of the theory to be well below the naive strong-coupling scale, forbid any potential and…

高能物理 - 理论 · 物理学 2020-01-08 Brando Bellazzini , Francesco Riva , Javi Serra , Francesco Sgarlata

This paper presents a calculation of the four gravitons amplitude in (Anti)-de Sitter space, focusing specifically on external gravitons with positive helicity. To achieve this, we employ a generalized recursion method that involves…

高能物理 - 理论 · 物理学 2023-06-07 Soner Albayrak , Savan Kharel

We compute boundary three-point functions involving two scalars and a gauge field of arbitrary spin in the AdS vacuum of Vasiliev's higher spin gravity, for any deformation parameter \lambda. In the process, we develop tools for extracting…

高能物理 - 理论 · 物理学 2017-08-23 Martin Ammon , Per Kraus , Eric Perlmutter

We consider the recently proposed Bound State Conjecture for quantum field theory in the context of solitons in two dimensional $\phi^4$ scalar field theory. We calculate the quantum correction to the size of the soliton which, taken…

高能物理 - 理论 · 物理学 2022-07-05 John F. Wheater , P. D. Xavier

We have looked for evidence of large cross sections at large multiplicities in weakly coupled scalar field theory in three dimensions. We use spectral function sum rules to derive bounds on total cross sections where the sum can be expresed…

高能物理 - 唯象学 · 物理学 2009-11-07 Y. Y. Charng , R. S. Willey

The local theory of the critical lines of 2D and 3D Gaussian fields that underline the cosmic structures is presented. In the context of cosmological matter distribution the subset of critical lines of the 3D density field serves to…

天体物理学 · 物理学 2015-05-13 D. Pogosyan , C. Pichon , C. Gay , S. Prunet , J. F. Cardoso , T. Sousbie , S. Colombi

In generic conformal field theories with $W_3$ symmetry, we identify a primary field $\sigma$ with rational Kac indices, which produces the full $\mathbb{Z}_3$ charged and neutral sectors by the fusion processes $\sigma \times \sigma$ and…

数学物理 · 物理学 2019-12-02 Yacine Ikhlef , Hirohiko Shimada

A tensorial representation of $\phi^4$ field theory introduced in Phys. Rev. D. 93, 085005 (2016) is studied close to six dimensions, with an eye towards a possible realization of an interacting conformal field theory in five dimensions. We…

高能物理 - 理论 · 物理学 2018-07-04 Dietrich Roscher , Igor F. Herbut

We present a Monte Carlo study of the one-component $\phi^4$ model on the cubic lattice in three dimensions. Leading order scaling corrections are studied using the finite size scaling method. We compute the corrections to scaling exponent…

高能物理 - 格点 · 物理学 2008-11-26 M. Hasenbusch

We develop a covariant kinetic theory for massive fermions in curved spacetime and external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate at $O(\hbar)$, which describe…

高能物理 - 唯象学 · 物理学 2021-05-06 Yu-Chen Liu , Kazuya Mameda , Xu-Guang Huang

We review the recent developments in the study of conformal field theories in generic space time dimensions using the methods of the conformal bootstrap, in its analytic aspect. These techniques are based solely on symmetries, in particular…

高能物理 - 理论 · 物理学 2021-09-27 Agnese Bissi , Parijat Dey , Giulia Fardelli

We develop the conformal bootstrap program for six-dimensional conformal field theories with $(2,0)$ supersymmetry, focusing on the universal four-point function of stress tensor multiplets. We review the solution of the superconformal Ward…

高能物理 - 理论 · 物理学 2016-01-27 Christopher Beem , Madalena Lemos , Leonardo Rastelli , Balt C. van Rees
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