Gradient flows without blow-up for Lefschetz thimbles
Sign Up to like & getrecommendations! Published in 2017 at "Journal of High Energy Physics"
DOI: 10.1007/jhep10(2017)100
Abstract: A bstractWe propose new gradient flows that define Lefschetz thimbles and do not blow up in a finite flow time. We study analytic properties of these gradient flows, and confirm them by numerical tests in… read more here.
Keywords: without blow; flows without; lefschetz thimbles; gradient flows ... See more keywords
Taylor expansions on Lefschetz thimbles
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.103.034513
Abstract: Thimble regularization is a possible solution to the sign problem, which is evaded by formulating quantum field theories on manifolds where the imaginary part of the action stays constant (Lefschetz thimbles). A major obstacle is… read more here.
Keywords: taylor expansions; expansions lefschetz; lefschetz thimbles;
More on Homological Supersymmetric Quantum Mechanics
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.97.065002
Abstract: In this work, we first solve complex Morse flow equations for the simplest case of a bosonic harmonic oscillator to discuss localization in the context of Picard-Lefschetz theory. We briefly touch on the exact non-BPS… read more here.
Keywords: quantum mechanics; lefschetz thimbles; supersymmetric quantum; mechanics ... See more keywords
Towards Lefschetz Thimbles in Sigma Models, I
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Experimental and Theoretical Physics"
DOI: 10.1134/s1063776121040129
Abstract: Abstract We study two dimensional path integral Lefschetz thimbles, i.e. the possible path integration contours. Specifically, in the examples of the O ( N ) and $$\mathbb{C}{{\mathbb{P}}^{{N - 1}}}$$ models, we find a large class… read more here.
Keywords: towards lefschetz; sigma models; lefschetz thimbles; thimbles sigma ... See more keywords