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We describe a construction of the two-loop amplitude of four graviton supermultiplets in AdS$_5\times$S$^5$. We start from an ansatz for a preamplitude from which we generate the full amplitude under the action of a specific Casimir…

High Energy Physics - Theory · Physics 2022-08-30 J. M. Drummond , H. Paul

We construct a consistent Kaluza-Klein reduction of $D=11$ supergravity on $\Sigma_2\times S^4$, where $\Sigma_2=S^2,\mathbb{R}^2$ or $H^2$, or a quotient thereof, at the level of the bosonic fields. The result is a gauged $N=4$, $D=5$…

High Energy Physics - Theory · Physics 2020-01-08 K. C. Matthew Cheung , Jerome P. Gauntlett , Christopher Rosen

A continuum limit of the non-Hermitian spin-1/2 chain, conjectured recently to belong to the universality class of the noisy Burgers or, equivalently, Kardar-Parisi-Zhang equation, is obtained and analyzed. The Galilean invariance of the…

Condensed Matter · Physics 2009-10-28 Hans C. Fogedby , Anders B. Eriksson , Lev V. Mikheev

We calculate the genus-one three- and four-point amplitudes in the 2+2 dimensional closed N=(2,2) worldsheet supersymmetric string within the RNS formulation. Vertex operators are redefined with the incorporation of spinor helicity…

High Energy Physics - Theory · Physics 2009-10-31 Gordon Chalmers , Olaf Lechtenfeld , Bernd Niemeyer

We analyse quantum properties of ${\cal N}=2$ and ${\cal N}=4$ supersymmetric gauge theories formulated in terms of ${\cal N}=1$ superfields and investigate the conditions imposed on a renormalization prescription under which the…

High Energy Physics - Theory · Physics 2023-05-24 Sergei Aleshin , Konstantin Stepanyantz

The van Dam-Veltman-Zakharov (vDVZ) discontinuity requires that the mass $m$ of the graviton is exactly zero, otherwise measurements of the deflection of starlight by the Sun and the precession of Mercury's perihelion would conflict with…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Donald H. Eckhardt , José Luis G. Pestaña , Ephraim Fischbach

Within the set of schemes defined by generalized, manifestly gauge invariant exact renormalization groups for QED, it is argued that the beta-function in the four dimensional massless theory cannot possess any nonperturbative power…

High Energy Physics - Theory · Physics 2008-11-26 Oliver J. Rosten

We study the dynamics of spin currents in the XX spin-1/2 ladder at finite temperature. Within the framework of linear response theory, we numerically calculate autocorrelation functions for quantum systems larger than what is accessible…

Strongly Correlated Electrons · Physics 2014-09-29 R. Steinigeweg , F. Heidrich-Meisner , J. Gemmer , K. Michielsen , H. De Raedt

In this paper we present a full set of 2- and 3-point functions for massless QCD at three-loop order in the MSbar scheme. The vertex functions are evaluated at the asymmetric point with one vanishing momentum. These results are used to…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. G. Chetyrkin , A. Retey

The RP(2) gauge model is studied in 2D. We use Monte-Carlo renormalization techniques for blocking the mean spin-spin interaction, <A>, and the mean gauge field plaquette, <P>. The presence of the O(3) renormalized trajectory is verified…

High Energy Physics - Lattice · Physics 2009-10-31 S. M. Catterall , M. Hasenbusch , R. R. Horgan , R. L. Renken

The transformation of the free-energy landscape from smooth to hierarchical is one of the richest features of mean-field disordered systems. A well-studied example is the de Almeida-Thouless transition for spin glasses in a magnetic field,…

Statistical Mechanics · Physics 2017-05-31 Patrick Charbonneau , Sho Yaida

Here we perform the Kaluza-Klein dimensional reduction from $D+1$ to $D$ dimensions of massless Lagrangians described by a symmetric rank-2 tensor and invariant under transverse differmorphisms (TDiff). They include the linearized…

High Energy Physics - Theory · Physics 2021-06-30 D. Dalmazi , R. R. Lino dos Santos

We show that the double-copy structure of gravity forbids divergences in pure half-maximal (16 supercharge) supergravity at four and five points at one loop in D<8 and at two loops in D<6. We link the cancellations that render these…

High Energy Physics - Theory · Physics 2013-05-30 Zvi Bern , Scott Davies , Tristan Dennen , Yu-tin Huang

We discuss the full nonlinear Kaluza-Klein (KK) reduction of the original formulation of d=11 supergravity on $AdS_7\times S_4$ to gauged maximal ({\cal N}=4) supergravity in 7 dimensions. We derive the full nonlinear embedding of the d=7…

High Energy Physics - Theory · Physics 2009-10-31 Horatiu Nastase , Diana Vaman , Peter van Niewenhuizen

In Class. Quantum Grav. 26 (2009) 175006 (arXiv:0812.4333v3) Bizon et al discuss the power-law tail in the long-time evolution of a spherically symmetric self-gravitating massless scalar field in odd spatial dimensions. They derive explicit…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Nikodem Szpak

Using ground state computations, we study the transition from a spin glass to a ferromagnet in 3-d spin glasses when changing the mean value of the spin-spin interaction. We find good evidence for replica symmetry breaking up till the…

Disordered Systems and Neural Networks · Physics 2009-11-07 F. Krzakala , O. C. Martin

Massive gravity exhibits a famous discontinuity in its 2-point linearized amplitude for t-channel scattering of gravitational sources, in the $m \to 0$ limit. In essence, the source of this vDVZ discontinuity is in the failure of the…

High Energy Physics - Theory · Physics 2020-05-29 Daniel J Burger , Nathan Moynihan , Jeff Murugan

This paper presents the quantization of massive and massless spin-2 particles, using the auxiliary field method. The issue, the so-called vDVZ-discontinuity, whether the perihelion precessions for a massive graviton are in agreement with…

General Physics · Physics 2025-12-03 Th. A. Rijken , J. W. Wagenaar

We show that the ghost-free models of massive gravity and their multi-graviton extensions follow from considering higher dimensional General Relativity in Einstein-Cartan form on a discrete extra dimension, according to the Dimensional…

High Energy Physics - Theory · Physics 2015-06-16 Claudia de Rham , Andrew Matas , Andrew J. Tolley

We present a nonsupersymmetric orbifold of type II string theory and show that it has vanishing cosmological constant at the one and two loop level. We argue heuristically that the cancellation persists at higher loops.

High Energy Physics - Theory · Physics 2009-10-07 Shamit Kachru , Jason Kumar , Eva Silverstein
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