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Rational-function simplification is key bottlenecks in integration-by-parts (IBP) reduction of Feynman integrals. We study denominator factorization patterns appearing in IBP coefficients and develop practical algorithms for extracting and…

High Energy Physics - Phenomenology · Physics 2026-05-14 Alexander V. Smirnov , Vladislav. A. Fokin , Egor Yu. Chuvashov

We derive a boson Hamiltonian from a Nuclear Hamiltonian whose potential is expanded in pairing multipoles and determine the fermion-boson mapping of operators. We use a new method of bosonization based on the evaluation of the partition…

Nuclear Theory · Physics 2007-05-23 Fabrizio Palumb

We use Integrability techniques to compute structure constants in N=4 SYM to leading order. Three closed spin chains, which represent the single trace gauge-invariant operators in N=4 SYM, are cut into six open chains which are then sewed…

High Energy Physics - Theory · Physics 2011-09-12 Jorge Escobedo , Nikolay Gromov , Amit Sever , Pedro Vieira

We explain a new method for finding the correlation functions for the XXX model which is based on the concepts of Operator Product Expansion of Quantum Field Theory on one hand and of fermionic bases for the XXX spin chain on the other.…

High Energy Physics - Theory · Physics 2018-08-01 Philippe Di Francesco , Fedor Smirnov

The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1<\Delta \leq 1 and 1<\Delta. In particular, adjacent four-point correlation functions were given as certain…

Statistical Mechanics · Physics 2008-11-26 Go Kato , Masahiro Shiroishi , Minoru Takahashi , Kazumitsu Sakai

In this work we study the recently developed parametrized partition function formulation and show how we can infer the thermodynamic properties of fermions based on numerical simulation of bosons and distinguishable particles at various…

Quantum Gases · Physics 2023-06-07 Yunuo Xiong , Hongwei Xiong

We use holography to study correlation functions of local operators in maximally supersymmetric Yang-Mills theories arising on the world-volume of D$p$-branes in the large-$N$ and strong-coupling limit. The relevant supergravity backgrounds…

High Energy Physics - Theory · Physics 2025-10-23 Nikolay Bobev , Guillermo Mera Álvarez , Hynek Paul

Reasoning on large and complex real-world models is a computationally difficult task, yet one that is required for effective use of many AI applications. A plethora of inference algorithms have been developed that work well on specific…

Artificial Intelligence · Computer Science 2016-06-13 Avi Pfeffer , Brian Ruttenberg , William Kretschmer

We study in detail the flavor-non-singlet component of polarized structure functions in the framework of a consistent and complete next-to-leading order (${\cal O}(\alpha_s))$ analysis. In this context, we discuss some important features of…

High Energy Physics - Phenomenology · Physics 2009-10-28 M. Stratmann , A. Weber , W. Vogelsang

We analyse the 3-point CFT correlators involving non-conserved spinning operators in momentum space. We derive a general expression for the conformal Ward identities defining the 3-point functions involving two generic spin $s$…

High Energy Physics - Theory · Physics 2023-04-12 Raffaele Marotta , Kostas Skenderis , Mritunjay Verma

A model-independent analysis of collinear three-parton correlation functions for fragmentation is performed. By investigating their support properties it is shown, in particular, that the so-called partonic pole matrix elements vanish. This…

High Energy Physics - Phenomenology · Physics 2009-05-05 S. Meissner , A. Metz

A variant of coupled-cluster theory is described here, wherein the degrees of freedom are fluctuations of fragments between internally correlated states. The effects of intra-fragment correlation on the inter-fragment interaction are…

Chemical Physics · Physics 2019-05-24 Yuhong Liu , Anthony D. Dutoi

Boolean matrix factorization (BMF) approximates a given binary input matrix as the product of two smaller binary factors. Unlike binary matrix factorization based on standard arithmetic, BMF employs the Boolean OR and AND operations for the…

Information Retrieval · Computer Science 2025-12-05 Christos Kolomvakis , Thomas Bobille , Arnaud Vandaele , Nicolas Gillis

Multiple-precision floating-point branch-free algorithms can significantly accelerate multi-component arithmetic implemented by combining hardware-based binary64 and binary32, particularly for triple- and quadruple-precision computations.…

Mathematical Software · Computer Science 2026-05-08 Tomonori Kouya

This paper presents a general method for applying hierarchical matrix skeletonization factorizations to the numerical solution of boundary integral equations with possibly rank-deficient integral operators. Rank-deficient operators arise in…

Numerical Analysis · Mathematics 2021-04-08 John Paul Ryan , Anil Damle

We study single-particle inclusive (1PI) distributions in top-quark pair production at hadron colliders, working in the highly boosted regime where the top-quark p_T is much larger than its mass. In particular, we derive a novel…

High Energy Physics - Phenomenology · Physics 2014-01-21 Andrea Ferroglia , Simone Marzani , Ben D. Pecjak , Li Lin Yang

The electron, positron, and photon Parton Distribution Functions (PDFs) of the unpolarised electron have recently been computed at the next-to-leading logarithmic accuracy in QED, by adopting the $\overline{\rm MS}$ factorisation scheme. We…

High Energy Physics - Phenomenology · Physics 2021-12-22 Stefano Frixione

We develop a method for computing correlation functions of twist operators in the bosonic 2-d CFT arising from orbifolds M^N/S_N, where M is an arbitrary manifold. The path integral with twist operators is replaced by a path integral on a…

High Energy Physics - Theory · Physics 2009-10-31 Oleg Lunin , Samir D. Mathur

We compute the conformal blocks associated with scalar-scalar-fermion-fermion 4-point functions in 3D CFTs. Together with the known scalar conformal blocks, our result completes the task of determining the so-called `seed blocks' in three…

High Energy Physics - Theory · Physics 2016-07-08 Luca Iliesiu , Filip Kos , David Poland , Silviu S. Pufu , David Simmons-Duffin , Ran Yacoby

We formulate correlation functions for a one-dimensional interacting spinless fermion model at finite temperature. By combination of a lattice path integral formulation for thermodynamics with the algebraic Bethe ansatz for fermion systems,…

Statistical Mechanics · Physics 2008-02-21 Kohei Motegi , Kazumitsu Sakai