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It is well-known that with an appropriate combination of three Liouville-type dilaton potentials, one can construct charged dilaton black holes in an (anti)-de Sitter [(A)dS] spaces in the presence of linear Maxwell field. However,…

General Relativity and Quantum Cosmology · Physics 2018-05-23 S. Hajkhalili , A. Sheykhi

In these notes we give an overview of different topics in resurgence theory from a physics point of view, but with particular mathematical flavour. After a short review of the standard Borel method for the resummation of asymptotic series,…

High Energy Physics - Theory · Physics 2021-01-13 Daniele Dorigoni

We present a nonrelativistic one-particle quantum mechanics whose perturbative S-matrix exhibits a renormalon divergence that we explicitely compute. The potential of our model is the sum of the 2d Dirac $\delta$-potential -- known to…

High Energy Physics - Theory · Physics 2019-09-04 Cihan Pazarbasi , Dieter Van den Bleeken

We study the sine-Gordon model in two dimensional space time in two different domains. For beta > 8 pi and weak coupling, we introduce an ultraviolet cutoff and study the infrared behavior. A renormalization group analysis shows that the…

Mathematical Physics · Physics 2015-06-26 J. Dimock , T. R. Hurd

We introduce a new model for random simplicial complexes which with high probability generates a complex that has a simply-connected double cover. Hence we develop a model for random simplicial complexes with fundamental group…

Combinatorics · Mathematics 2022-10-21 Florian Frick , Andrew Newman

Mobile impurity atoms immersed in Bose-Einstein condensates provide a new platform for exploring Bose polarons. Recent experimental advances in the field of ultracold atoms make it possible to realize such systems with highly tunable…

Quantum Gases · Physics 2017-11-22 Fabian Grusdt , Gregory E. Astrakharchik , Eugene A. Demler

We propose toy models of unconventional magnetic alloys, in which the density of band states, $\rho(\epsilon)$, and hybridization, $t(\epsilon)$, are energy dependent; it is assumed, however, that $t^2(\epsilon)\propto\rho^{-1}(\epsilon)$,…

Strongly Correlated Electrons · Physics 2009-10-31 Valery I. Rupasov

We study the one-loop renormalization of high-energy Lorentz violating four fermion models. We derive general formulas and then consider a number of specific models. We study the conditions for asymptotic freedom and give a practical method…

High Energy Physics - Phenomenology · Physics 2010-05-12 Damiano Anselmi , Emilio Ciuffoli

A recently developed variational resummation technique, incorporating renormalization group properties consistently, has been shown to solve the scale dependence problem that plagues the evaluation of thermodynamical quantities, e.g.,…

High Energy Physics - Phenomenology · Physics 2017-12-20 Gabriel N. Ferrari , Jean-Loic Kneur , Marcus B. Pinto , Rudnei O. Ramos

In this paper, we show that the common hard kernel of double-log-type or threshold-type factorization for certain space-like parton correlators that arise in the context of lattice parton distributions, the heavy-light Sudakov hard kernel,…

High Energy Physics - Phenomenology · Physics 2024-03-04 Yizhuang Liu , Yushan Su

Few facts are known about the entanglement entropy for disconnected regions in quantum field theory. We study here the property of extensivity of the mutual information, which holds for free massless fermions in two dimensions. We uncover…

High Energy Physics - Theory · Physics 2009-09-17 H. Casini , M. Huerta

We apply to the Random Field Ising Model at zero temperature (T= 0) the perturbative loop expansion around the Bethe solution. A comparison with the standard epsilon-expansion is made, highlighting the key differences that make the new…

Disordered Systems and Neural Networks · Physics 2020-02-06 Maria Chiara Angelini , Carlo Lucibello , Giorgio Parisi , Federico Ricci-Tersenghi , Tommaso Rizzo

The previously developed renormalizable perturbative 1/N-expansion in higher dimensional scalar field theories is extended to gauge theories with fermions. It is based on the $1/N_f$-expansion and results in a logarithmically divergent…

High Energy Physics - Theory · Physics 2007-05-23 D. I. Kazakov , G. S. Vartanov

We investigate higher-order asymptotic symmetries for a $p$-form gauge field in $(p + 2)$-dimensional Minkowski spacetime, where Hodge duality with a scalar holds. Employing symplectic renormalization, we identify $N + 1$ independent…

High Energy Physics - Theory · Physics 2026-02-11 Federico Manzoni , Matteo Romoli

We consider the renormalisation of a softly-broken supersymmetric theory with singlet fields and a superpotential with a linear term. We show that there exist exact beta-functions for both the linear term in the superpotential and the…

High Energy Physics - Phenomenology · Physics 2009-11-07 I. Jack , D. R. T. Jones , R. Wild

We introduce a "renormalized entanglement entropy" which is intrinsically UV finite and is most sensitive to the degrees of freedom at the scale of the size R of the entangled region. We illustrated the power of this construction by showing…

High Energy Physics - Theory · Physics 2015-03-20 Hong Liu , Mark Mezei

Recently, a rank four tensor group field theory has been proved renormalizable. We provide here the key points on the renormalizability of this model and its UV asymptotic freedom.

High Energy Physics - Theory · Physics 2012-10-22 Joseph Ben Geloun

We study the infrared renormalon in the gluon condensate in the $SU(N)$ gauge theory with $n_W$-flavor adjoint Weyl fermions (QCD(adj.)) on~$\mathbb{R}^3\times S^1$ with the $\mathbb{Z}_N$ twisted boundary conditions. We rely on the…

High Energy Physics - Theory · Physics 2020-02-12 Masahiro Ashie , Okuto Morikawa , Hiroshi Suzuki , Hiromasa Takaura , Kengo Takeuchi

In recent years, some interesting investigations of the non-perturbative renormalization group equations for tensorial group field theories have been done in the truncation method, and completely discarding the Ward identities from their…

High Energy Physics - Theory · Physics 2020-01-16 Vincent Lahoche , Dine Ousmane Samary

We reconsider in some detail a construction allowing (Borel) convergence of an alternative perturbative expansion, for specific physical quantities of asymptotically free models. The usual perturbative expansions (with an explicit mass…

High Energy Physics - Theory · Physics 2009-11-07 J. -L. Kneur , D. Reynaud