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The 3D Ising model and the generalized free scalar of dimension at least 0.75 belong to a continuous line of nonlocal fixed points, each referred to as a long-range Ising model. They can be distinguished by the dimension of the lightest…

高能物理 - 理论 · 物理学 2019-01-25 Connor Behan

The calculation of physical quantities in certain quantum field theories such as those of the Argyres-Douglas type is notoriously hard, due to the lack of a Lagrangian description. Here we tackle this problem following two alternative…

高能物理 - 理论 · 物理学 2022-07-06 Agnese Bissi , Francesco Fucito , Andrea Manenti , José Francisco Morales , Raffaele Savelli

We describe how to implement the conformal bootstrap program in the context of the embedding space OPE formalism introduced in previous work. To take maximal advantage of the known properties of the scalar conformal blocks for…

高能物理 - 理论 · 物理学 2025-04-14 Jean-François Fortin , Wen-Jie Ma , Valentina Prilepina , Witold Skiba

In this paper, we develop a new method of computing three-point functions in the SU(2) sector of the $\mathcal{N}=4$ super Yang-Mills theory in the semi-classical regime at weak coupling, which closely parallels the strong coupling…

高能物理 - 理论 · 物理学 2018-01-26 Yoichi Kazama , Shota Komatsu , Takuya Nishimura

We employ the light-cone superspace formalism to develop an efficient approach to constructing superconformal operators of twist two in Yang-Mills theories with N=1,2,4 supercharges. These operators have an autonomous scale dependence to…

高能物理 - 理论 · 物理学 2010-04-05 A. V. Belitsky , S. E. Derkachov , G. P. Korchemsky , A. N. Manashov

We compute two-point functions of chiral operators Tr \Phi^3 in {\cal N}=4 SU(N) supersymmetric Yang-Mills theory to the order g^4 in perturbation theory. We perform explicit calculations using {\cal N}=1 superspace techniques and find that…

高能物理 - 理论 · 物理学 2010-02-03 S. Penati , A. Santambrogio , D. Zanon

We study five-point correlation functions of scalar operators in d-dimensional conformal field theories. We develop a new approach to computing the five-point conformal blocks for exchanged primary operators of arbitrary spin by introducing…

高能物理 - 理论 · 物理学 2024-03-04 David Poland , Valentina Prilepina , Petar Tadić

The $\gamma_i$-deformed $\mathcal{N}=4$ super-Yang-Mills theory is a non-supersymmetric deformation of the maximally-supersymmetric gauge theory in four dimensions which is conformally-invariant at the planar level. At the non-planar level…

高能物理 - 理论 · 物理学 2013-12-03 Qingjun Jin

We discuss conserved currents and operator product expansions (OPE's) in the context of a $O(N)$ invariant conformal field theory. Using OPE's we find explicit expressions for the first few terms in suitable short-distance limits for…

高能物理 - 理论 · 物理学 2014-11-18 Anastasios Petkou

We develop a novel nonperturbative approach to a class of three-point functions in planar $\mathcal{N}=4$ SYM based on Thermodynamic Bethe Ansatz (TBA). More specifically, we study three-point functions of a non-BPS single-trace operator…

高能物理 - 理论 · 物理学 2020-08-26 Yunfeng Jiang , Shota Komatsu , Edoardo Vescovi

We examine the double-trace spectrum of $\mathcal{N} = 4$ super Yang-Mills theory in the supergravity limit. At large $N$ double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to…

高能物理 - 理论 · 物理学 2018-04-04 F. Aprile , J. M. Drummond , P. Heslop , H. Paul

We compute three-point functions of single trace operators in planar N=4 SYM. We consider the limit where one of the operators is much smaller than the other two. We find a precise match between weak and strong coupling in the…

高能物理 - 理论 · 物理学 2015-05-28 Jorge Escobedo , Nikolay Gromov , Amit Sever , Pedro Vieira

Structure constants of minimal conformal theories are reconsidered. It is shown that {\it ratios} of structure constants of spin zero fields of a non-diagonal theory over the same evaluated in the diagonal theory are given by a simple…

高能物理 - 理论 · 物理学 2010-11-01 V. B. Petkova , J. -B. Zuber

We look for chiral primaries in the general Leigh-Strassler deformed N=4 super Yang-Mills theory by systematically computing the planar one-loop anomalous dimension for single trace operators up to dimension six. The operators are organised…

高能物理 - 理论 · 物理学 2010-02-03 Kallingalthodi Madhu , Suresh Govindarajan

We use the soft-collinear bootstrap to construct the 8-loop integrand for the 4-point amplitude and 4-stress-tensor correlation function in planar maximally supersymmetric Yang-Mills theory. Both have a unique representation in terms of…

高能物理 - 理论 · 物理学 2016-05-18 Jacob L. Bourjaily , Paul Heslop , Vuong-Viet Tran

We consider a set of half-BPS operators in $\mathcal{N}=4$ super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS${}_5 \times S^5$. These single-particle operators are defined to…

高能物理 - 理论 · 物理学 2021-03-17 F. Aprile , J. M. Drummond , P. Heslop , H. Paul , F. Sanfilippo , M. Santagata , A. Stewart

We analyze the constraint structure of the interaction of vector mesons with baryons using the classical Dirac constraint analysis. We show that the standard interaction in terms of two independent SU(3) structures is consistent at the…

核理论 · 物理学 2015-12-02 Y. Unal , A. Kucukarslan , S. Scherer

Within the framework of QCD we compute renormalization constants for the strong coupling and the quark masses to four-loop order. We apply the DR-bar scheme and put special emphasis on the additional couplings which have to be taken into…

高能物理 - 唯象学 · 物理学 2009-11-11 R. V. Harlander , D. R. T. Jones , P. Kant , L. Mihaila , M. Steinhauser

The $\sigma$-terms are calculated at next-to-leading order in heavy baryon chiral perturbation theory by employing a cutoff regularization. The results do not depend on the cutoff value to the order we are working . The baryon masses and…

高能物理 - 唯象学 · 物理学 2011-09-13 B. Borasoy

It's well known that in conformal theories the two- and three-point functions of a subset of the local operators-the conformal primaries-suffice, via the operator product expansion (OPE), to determine all local correlation functions of…

高能物理 - 理论 · 物理学 2014-05-01 Jean-François Fortin , Kenneth Intriligator , Andreas Stergiou