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We consider the tree-level amplitude, describing all 3 channels of the binary (pi ,K)-reaction, as a meromorphic polynomially bounded function of 3 dependent complex variables. Relying systematically on the Mittag-Leffler theorem, we…

高能物理 - 唯象学 · 物理学 2009-10-28 Vladimir V. Vereshagin

In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level closed and open string amplitudes follow from the…

高能物理 - 理论 · 物理学 2021-01-22 Pierre Vanhove , Federico Zerbini

In the present work, we study celestial correlators of light transformed gluon operators at tree level. We also discuss the transformation of light transformed operators under the action of 4D translations. The two, three and four-point…

高能物理 - 理论 · 物理学 2023-02-01 Sourish Banerjee , Rudranil Basu , Sayali Atul Bhatkar

We derive on-shell recursion relations for nonrelativistic effective field theories (EFTs) with enhanced soft limits. The recursion relations are illustrated through analytic calculation of tree-level scattering amplitudes in theories with…

高能物理 - 理论 · 物理学 2022-01-07 Martin A. Mojahed , Tomas Brauner

In this work we calculate the four-point correlation function of vector quark currents of QCD via holographic QCD model. Computing the correlator we take into account the exchange of vector and axial vector bosons and dilaton in the bulk.…

高能物理 - 唯象学 · 物理学 2014-11-20 Alexander Krikun

Theories in 5 dimensions with minimal supersymmetry are studied for domain-wall solutions and in the context of the AdS/CFT correspondence. The scalar manifold is a product of a very special real manifold and a quaternionic-Kaehler…

高能物理 - 理论 · 物理学 2009-11-07 Antoine Van Proeyen

In the CHY-frame for the tree-level amplitudes, the bi-adjoint scalar theory has played a fundamental role because it gives the on-shell Feynman diagrams for all other theories. Recently, an interesting generalization of the bi-adjoint…

高能物理 - 理论 · 物理学 2020-12-30 Bo Feng , Yaobo Zhang

Elasticity property (i.e. no-particle creation) is used in the tree level scattering of scalar particles in 1+1 dimensions to construct the affine Toda field theory(ATFT) associated with root systems of groups $a_2^{(2)}$ and $c_2^{(1)}$. A…

高能物理 - 理论 · 物理学 2015-06-26 S. Pratik Khastgir

The Loop-Tree Duality (LTD) is a novel perturbative method in QFT that establishes a relation between loop-level and tree-level amplitudes, which gives rise to the idea of treating them simultaneously in a common Monte Carlo. Initially…

高能物理 - 唯象学 · 物理学 2015-10-15 Sebastian Buchta

An improved correspondence formula is proposed for the calculation of correlation functions of a conformal field theory perturbed by multi-trace operators from the analysis of the dynamics of the dual field theory in Anti-de Sitter space.…

高能物理 - 理论 · 物理学 2016-09-06 Wolfgang Mueck

Recently considerable efforts have been devoted to computing cosmological correlators and the corresponding wavefunction coefficients, as well as understanding their analytical structures. In this note, we revisit the computation of these…

高能物理 - 理论 · 物理学 2024-07-26 Song He , Xuhang Jiang , Jiahao Liu , Qinglin Yang , Yao-Qi Zhang

Inspired in the AdS/CFT correspondence one can look for dualities between string theory and non conformal field theories. Exact dualities in the non conformal case are intricate but approximations can be helpful in extracting physical…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

In the critical beta-splitting model of a random $n$-leaf rooted tree, clades are recursively split into sub-clades, and a clade of $m$ leaves is split into sub-clades containing $i$ and $m-i$ leaves with probabilities $\propto 1/(i(m-i))$.…

概率论 · 数学 2024-12-18 David Aldous , Svante Janson

There is a renewed interest in conformal field theories (CFT) on ultrametric spaces (p-adic field and its algebraic extensions) in view of their natural adaptability in the holographic setting. We compute the contributions from the exchange…

高能物理 - 理论 · 物理学 2017-11-22 Parikshit Dutta , Debashis Ghoshal , Arindam Lala

The AdS/CFT correspondence is an exact duality between string theory in anti-de Sitter space and conformal field theories on its boundary. Inspired in this correspondence some relations between strings and non conformal field theories have…

高能物理 - 理论 · 物理学 2008-11-26 Henrique Boschi-Filho , Nelson R. F. Braga

We compute scattering amplitudes involving one massive scalar and two, three, or four gravitons. We show that when the conformal dimension of the massive scalar is set to zero, the resulting celestial correlators depend {\it only} on the…

高能物理 - 理论 · 物理学 2023-10-03 Adam Ball , Shounak De , Akshay Yelleshpur Srikant , Anastasia Volovich

We use the worldline formalism to derive integral representations for three classes of amplitudes in scalar field theory: (i) the scalar propagator exchanging N momenta with a scalar background field (ii) the "half-ladder" with N rungs in x…

高能物理 - 唯象学 · 物理学 2015-06-19 F. Bastianelli , A. Huet , C. Schubert , R. Thakur , A. Weber

In the context of $\rm AdS_3/CFT_2$, we investigate holographic correlators of the stress tensor of a conformal field theory (CFT) on a torus in this work. To calculate the correlators of the stress tensor, we employ the Einstein-Hilbert…

高能物理 - 理论 · 物理学 2023-07-05 Song He , Yi Li , Yun-Ze Li , Yunda Zhang

We consider correlation functions of the stress-tensor or a conserved current in AdS_{d+1}/CFT_d computed using the Hilbert or the Yang-Mills action in the bulk. We introduce new recursion relations to compute these correlators at tree…

高能物理 - 理论 · 物理学 2013-05-30 Suvrat Raju

A classical observer can measure elapsed proper time along their worldline. When observers are coupled to a system with internal correlations, measurements of elapsed time may inherit these correlations. We show that derivatives of the…

高能物理 - 理论 · 物理学 2024-06-26 Allic Sivaramakrishnan