String correlators: recursive expansion, integration-by-parts and scattering equations
Sign Up to like & getrecommendations! Published in 2019 at "Journal of High Energy Physics"
DOI: 10.1007/jhep09(2019)085
Abstract: Abstract We further elaborate on the general construction proposed in [1], which connects, via tree-level double copy, massless string amplitudes with color-ordered QFT amplitudes that are given by Cachazo-He-Yuan formulas. The current paper serves as… read more here.
Keywords: correlators recursive; integration parts; recursive expansion; string correlators ... See more keywords
Integration by parts and quasi-invariance for the horizontal Wiener measure on foliated compact manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2019.06.006
Abstract: We prove several versions of Driver's integration by parts formula for the horizontal Wiener measure on a totally geodesic Riemannian foliation and prove that the horizontal Wiener measure has a quasi-invariance property with respect to… read more here.
Keywords: wiener measure; integration parts; quasi invariance; horizontal wiener ... See more keywords
An integration by parts formula in a Markovian regime switching model and application to sensitivity analysis
Sign Up to like & getrecommendations! Published in 2017 at "Stochastic Analysis and Applications"
DOI: 10.1080/07362994.2017.1339613
Abstract: ABSTRACT We establish an integration by parts formula for the random functionals of a continuous-time Markov chain, based on partial differentiation with respect to jump times. In comparison with existing methods, our approach does not… read more here.
Keywords: integration parts; markovian regime; regime switching; parts formula ... See more keywords
Complete sets of logarithmic vector fields for integration-by-parts identities of Feynman integrals
Sign Up to like & getrecommendations! Published in 2017 at "Physical Review D"
DOI: 10.1103/physrevd.98.025023
Abstract: Integration-by-parts identities between loop integrals arise from the vanishing integration of total derivatives in dimensional regularization. Generic choices of total derivatives in the Baikov or ... read more here.
Keywords: complete sets; integration; integration parts; sets logarithmic ... See more keywords
On generalized fractional integration by parts formulas and their applications to boundary value problems
Sign Up to like & getrecommendations! Published in 2019 at "Georgian Mathematical Journal"
DOI: 10.1515/gmj-2019-2006
Abstract: Abstract In the paper, we derive a formula of integration by parts for the left-sided Hilfer derivative. Moreover, we present a formula of such a type for the right-sided Hilfer derivative. These results generalize the… read more here.
Keywords: integration parts; integration; boundary value; generalized fractional ... See more keywords