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Field theories with extra dimensions live in a limbo. While their classical solutions have been the subject of considerable study, their quantum aspects are difficult to control. A special class of such theories are anisotropic gauge…

High Energy Physics - Lattice · Physics 2011-03-10 Stam Nicolis

It is considered the 6D brane model where matter is trapped on the surface of a (2+4)-hyperboloid, as is suggested by the geometrical structure behind the 4D conformal group. The effective dimension of the bulk space-time for matter fields…

High Energy Physics - Theory · Physics 2017-04-27 Merab Gogberashvili

In this article we provide the complete proof of the result announced in arXiv:1210.7717 about the construction of scale invariant non-Gaussian generalized stochastic processes over three dimensional p-adic space. The construction includes…

Probability · Mathematics 2013-02-26 Abdelmalek Abdesselam , Ajay Chandra , Gianluca Guadagni

We extend the recent formalism developed for computing rapidity anomalous dimension of form factors using unitarity to the problem of high-energy near forward scattering. By combining the factorization of $2\rightarrow 2$ scattering in the…

High Energy Physics - Phenomenology · Physics 2024-10-10 Ira Z. Rothstein , Michael Saavedra

We study various aspects of global symmetries in five-dimensional superconformal field theories. Whenever a supersymmetry-preserving relevant deformation is available, the infrared gauge theory description might exhibit a finite order mixed…

High Energy Physics - Theory · Physics 2024-12-16 Pietro Benetti Genolini , Luigi Tizzano

We study the realization of anomalous Ward identities in deconstructed (latticized) supersymmetric theories. In a deconstructed four-dimensional theory with N=2 supersymmetry, we show that the chiral symmetries only appear in the infrared…

High Energy Physics - Theory · Physics 2009-11-10 Joel Giedt , Erich Poppitz , Moshe Rozali

Supersymmetric models in singular extra dimensional spaces feature prominently in many interesting phenomenological models, including those derived from string theory. In this paper we explicitly derive the low energy theory of…

High Energy Physics - Theory · Physics 2025-11-27 Michael Nee , Lisa Randall

We construct perturbation series for the q-th moment of eigenfunctions of various critical random matrix ensembles in the strong multifractality regime close to localization. Contrary to previous investigations, our results are valid in the…

Quantum Physics · Physics 2015-06-03 E. Bogomolny , O. Giraud

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on…

High Energy Physics - Theory · Physics 2010-02-03 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We study anomalous dimensions of (super)conformal Wilson operators at weak and strong coupling making use of the integrability symmetry on both sides of the gauge/string correspondence and elucidate the origin of their single-logarithmic…

High Energy Physics - Theory · Physics 2008-11-26 A. V. Belitsky , A. S. Gorsky , G. P. Korchemsky

Symmetry-protected topological phases protected by crystalline symmetries and internal symmetries are shown to enjoy a fascinating one-to-one correspondence in classification. Here we investigate the physics content behind the abstract…

Strongly Correlated Electrons · Physics 2026-05-07 Jian-Hao Zhang , Shang-Qiang Ning

We give an intuitive geometric explanation for the apparent breakdown of standard finite-size scaling in systems with periodic boundaries above the upper critical dimension. The Ising model and self-avoiding walk are simulated on…

Statistical Mechanics · Physics 2017-03-17 Jens Grimm , Eren Metin Elçi , Zongzheng Zhou , Timothy M. Garoni , Youjin Deng

In a previous paper, one of us pointed out that the anomalous dimension matrices for all physical processes that have been calculated to date are complex symmetric, if stated in an orthonormal basis. In this paper we prove this fact and…

High Energy Physics - Phenomenology · Physics 2009-01-27 Michael H. Seymour , Malin Sjodahl

We review the computation of off-forward anomalous dimensions in the limit of a large number of quark flavors $n_f$. The method is based on a consistency relation the anomalous dimensions have to obey, which is a direct consequence of the…

High Energy Physics - Phenomenology · Physics 2022-06-10 S. Van Thurenhout , S. Moch

The major difficulty in developing theories for anomalous scaling in hydrodynamic turbulence is the lack of a small parameter. In this Letter we introduce a shell model of turbulence that exhibits anomalous scaling with a tunable small…

chao-dyn · Physics 2009-10-31 Daniela Pierotti , Victor S. L'vov , Anna Pomyalov , Itamar Procaccia

Anomalous superconformal Ward identities and commutator algebra in N = 1 super-Yang-Mills theory give rise to constraints between the QCD special conformal anomalies of conformal composite operators. We evaluate the superconformal anomalies…

High Energy Physics - Phenomenology · Physics 2009-10-31 A. V. Belitsky , D. Müller

We compute the spectrum of anomalous dimensions of non-derivative composite operators with an arbitrary number of fields $n$ in the $O(N)$ vector model with cubic anisotropy at the one-loop order in the $\epsilon$-expansion. The complete…

High Energy Physics - Theory · Physics 2019-09-19 Oleg Antipin , Jahmall Bersini

Using an unambiguous characterization of Trace Anomalies a general proof of matching for Type A and B anomalies in the broken phases of Conformal Field Theories is given. The general constraints on amplitudes of energy-momentum tensors and…

High Energy Physics - Theory · Physics 2024-12-24 Adam Schwimmer , Stefan Theisen

The AdS/CFT transformation relates two nonlinear realizations of (super)conformal groups: their realization in the appropriate field theories in Minkowski space with a Goldstone dilaton field and their realization as (super)isometry groups…

High Energy Physics - Theory · Physics 2009-11-10 E. Ivanov

We derive a general scaling relation for the anomalous Hall effect in ferromagnetic metals involving multiple competing scattering mechanisms, described by a quadratic hypersurface in the space spanned by the partial resistivities. We also…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Dazhi Hou , Gang Su , Yuan Tian , Xiaofeng Jin , Shengyuan A. Yang , Qian Niu