Results 11 to 20 of about 1,995,067 (86)
Toward the nonequilibrium thermodynamic analog of complexity and the Jarzynski identity
Journal of High Energy Physics, 2022 The Jarzynski identity can describe small-scale nonequilibrium systems through stochastic thermodynamics. The identity considers fluctuating trajectories in a phase space. The complexity geometry frames the discussions on quantum computational complexity
Chen Bai, Wen-Hao Li, Xian-Hui Ge
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Kinematic Jacobi Identity is a Residue Theorem: Geometry of Color-Kinematics Duality for Gauge and Gravity Amplitudes. [PDF]
Physical Review Letters, 2019 We give a geometric interpretation of color-kinematics duality between tree-level scattering amplitudes of gauge and gravity theories. Using their representation as intersection numbers we show how to obtain Bern-Carrasco-Johansson numerators in a ...
Sebastian Mizera
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Covariant phase space and soft factorization in non-Abelian gauge theories
Journal of High Energy Physics, 2021 We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of ...
Temple He, Prahar Mitra
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A Partition Identity Related to Stanley’s Theorem [PDF]
The American mathematical monthly, 2018 In this note, we use the Lambert series generating function for Euler’s totient function to introduce a new identity for the number of 1’s in the partitions of n. A new expansion for Euler’s partition function p(n) is derived in this context.
M. Merca, M. Schmidt
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Asymptotic symmetries and the subleading soft graviton theorem in higher dimensions [PDF]
Physical Review D, 2020 We investigate the relation between the subleading soft graviton theorem and asymptotic symmetries in gravity in even dimensions higher than four. After rewriting the subleading soft graviton theorem as a Ward identity, we argue that the charges of such ...
D. Colferai, Stefano Lionetti
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Infinite-dimensional fermionic symmetry in supersymmetric gauge theories
Journal of High Energy Physics, 2021 We establish the existence of an infinite-dimensional fermionic symmetry in four-dimensional supersymmetric gauge theories by analyzing semiclassical photino dynamics in abelian N $$ \mathcal{N} $$ = 1 theories with charged matter.
Thomas T. Dumitrescu +3 more
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BMS supertranslations and Weinberg’s soft graviton theorem [PDF]
Journal of High Energy Physics, 2014 Recently it was conjectured that a certain infinite-dimensional “diagonal” subgroup of BMS supertranslations acting on past and future null infinity ( and ) is an exact symmetry of the quantum gravity S-matrix, and an associated Ward identity was derived.
T. He, V. Lysov, P. Mitra, A. Strominger
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Bounded Approximate Identities in Ternary Banach Algebras
Abstract and Applied Analysis, 2012 Let A be a ternary Banach algebra. We prove that if A has a left-bounded approximating set, then A has a left-bounded approximate identity. Moreover, we show that if A has bounded left and right approximate identities, then A has a bounded approximate ...
Madjid Eshaghi Gordji +2 more
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BMS supertranslations and not so soft gravitons
Journal of High Energy Physics, 2017 In a previous article [1], we have argued that Low’s sub-leading soft photon theorem can be recovered as a Ward identity associated to the same large gauge transformations that control the leading piece of the theorem.
Eduardo Conde, Pujian Mao
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A Hybrid Mean Value Involving Dedekind Sums and the Generalized Kloosterman Sums
Journal of Mathematics, 2021 In this paper, we use the mean value theorem of Dirichlet L-functions and the properties of Gauss sums and Dedekind sums to study the hybrid mean value problem involving Dedekind sums and the general Kloosterman sums and give an interesting identity for ...
Xiaowei Pan, Xiaoyan Guo
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