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We examine some features of the non-renormalizability induced through the use of low-energy effective Lagrangians in loop diagrams, in the context of a scalar model which is ultraviolet finite and partially soluble. In this framework, one…

High Energy Physics - Theory · Physics 2023-03-29 F. T. Brandt , J. Frenkel , D. G. C. McKeon , G. S. S. Sakoda

Higher-form symmetries have proved useful in constraining the dynamics of a number of quantum field theories. In the context of the Argyres-Douglas (AD) theories of the $(G,G')$ type, we find that the 1-form symmetries are invariant under…

High Energy Physics - Theory · Physics 2022-06-15 Federico Carta , Simone Giacomelli , Noppadol Mekareeya , Alessandro Mininno

Usually the Lagrangian of a model for massive vector bosons is derived in a geometric way by the Higgs mechanism. We investigate whether this geometric structure is maintained under the renormalization group (RG) flow. Using the framework…

High Energy Physics - Theory · Physics 2015-12-10 Michael Duetsch

We study renormalization group flows between six-dimensional superconformal field theories (SCFTs) using their geometric realizations as singular limits of F-theory compactified on elliptically fibered Calabi-Yau threefolds. There are two…

High Energy Physics - Theory · Physics 2015-08-27 Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa

Within the Functional Renormalisation Group (FRG) approach, we present a fluid-dynamical approach to solving flow equations for models living in a multi-dimensional field space. To this end, the underlying exact flow equation of the…

Statistical Mechanics · Physics 2024-12-23 Niklas Zorbach , Adrian Koenigstein , Jens Braun

In this note, we study a large class of four-dimensional R-symmetric theories, and we describe a new quantity, \tau_U, which is well-defined in these theories. Furthermore, we conjecture that this quantity is larger in the ultraviolet (UV)…

High Energy Physics - Theory · Physics 2013-05-30 Matthew Buican

Lagrangian turbulence lies at the core of numerous applied and fundamental problems related to the physics of dispersion and mixing in engineering, bio-fluids, atmosphere, oceans, and astrophysics. Despite exceptional theoretical,…

We construct a pseudo-Lagrangian that is invariant under rigid $E_{11}$ and transforms as a density under $E_{11}$ generalised diffeomorphisms. The gauge-invariance requires the use of a section condition studied in previous work on…

High Energy Physics - Theory · Physics 2021-07-14 Guillaume Bossard , Axel Kleinschmidt , Ergin Sezgin

We consider the holographic dual of a general class of N=1* flows in which all three chiral multiplets have independent masses, and in which the corresponding Yang-Mills scalars can develop particular supersymmetry-preserving vevs. We also…

High Energy Physics - Theory · Physics 2010-12-03 Alexei Khavaev , Nicholas P. Warner

In this paper we study a class of $\mathcal{N}=2$ SCFTs with ADE global symmetry defined via Type IIB compactification on a class of hypersurfaces in $\mathbb{C}^3\times\mathbb{C}^*$. These can also be constructed by compactifying the 6d…

High Energy Physics - Theory · Physics 2018-08-01 Simone Giacomelli

We generalize the gradient flow equation for field theories with nonlinearly realized symmetry. Applying the formalism to super Yang-Mills theory, we construct a supersymmetric extension of the gradient flow equation. It can be shown that…

High Energy Physics - Theory · Physics 2015-06-22 Kengo Kikuchi , Tetsuya Onogi

We continue our program of mapping data of 4D $\mathcal{N}=2$ superconformal field theories (SCFTs) onto observables of 2D chiral rational conformal field theories (RCFTs) by revisiting an infinite set of strongly coupled Argyres-Douglas…

High Energy Physics - Theory · Physics 2019-03-27 Matthew Buican , Zoltan Laczko

We investigate the applicability of inhomogeneous absorber models in the formation of AGN outflow absorption-troughs. The models we explore are limited to monotonic gradients of absorbing column densities in front of a finite emission…

Astrophysics · Physics 2009-11-10 Nahum Arav , Jelle Kaastra , Gerard A. Kriss , Kirk T. Korista , Jack Gabel , Daniel Proga

We use the novel Higgs mechanism of arXiv:0803.3218 to determine the leading higher-derivative corrections to the Euclidean N = 8 Bagger-Lambert-Gustavsson field theory. The result matches that previously found for Lorentzian 3-algebras,…

High Energy Physics - Theory · Physics 2009-06-23 Bobby Ezhuthachan , Sunil Mukhi , Constantinos Papageorgakis

A numerical model and parallel software for 3D simulations of granular flows have been developed based on the Lagrangian particle (LP) method [R.Samulyak, X. Wang, H.-C. Chen, Lagrangian particle method for compressible fluid dynamics, J.…

Computational Physics · Physics 2022-06-29 Mario Zepeda , Roman Samulyak

We investigate non-degenerate Lagrangians of the form $$ \int f(u_x, u_y, u_t) dx dy dt $$ such that the corresponding Euler-Lagrange equations $ (f_{u_x})_x+ (f_{u_y})_y+ (f_{u_t})_t=0 $ are integrable by the method of hydrodynamic…

Exactly Solvable and Integrable Systems · Physics 2007-11-28 E. V. Ferapontov , A. V. Odesskii

We reanalyse an arbitrary-wavelength gyrokinetic formalism [A. M. Dimits, Phys. Plasmas $\bf17$, 055901 (2010)], which orders only the vorticity to be small and allows strong, time-varying flows on medium and long wavelengths. We obtain a…

Plasma Physics · Physics 2015-06-19 A. Y. Sharma , B. F. McMillan

We continue to investigate the $\mathcal{N}=1$ deformations of four-dimensional $\mathcal{N}=2$ superconformal field theories (SCFTs) labeled by a nilpotent element of the flavor symmetry. This triggers a renormalization group (RG) flow to…

High Energy Physics - Theory · Physics 2017-02-01 Prarit Agarwal , Kazunobu Maruyoshi , Jaewon Song

We explore the space of renormalization group flows that originate from $\mathcal{N}=1$ supersymmetric $SU(2)$ gauge theory with one adjoint and a pair of fundamental chiral multiplets. By considering all possible relevant deformations -…

High Energy Physics - Theory · Physics 2019-04-03 Kazunobu Maruyoshi , Emily Nardoni , Jaewon Song

The Lagrange-Flux schemes are Eulerian finite volume schemes that make use of an approximate Riemann solver in Lagrangian description with particular upwind convective fluxes. They have been recently designed as variant formulations of…

Numerical Analysis · Mathematics 2017-03-02 Florian De Vuyst