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20102026
most citedLefschetz-thimble analysis of the sign problem in one-site fermion model

93 citations · 667 across the 57 of their papers we have counts for

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hep-th2024

Phase transition on superfluid vortices in Higgs-Confinement crossover

Tomoya Hayata, Yoshimasa Hidaka, Dan Kondo

We propose a novel method to distinguish states of matter by identifying spontaneous symmetry breaking on extended objects, such as vortices, even in the absence of a bulk phase tr…

hep-th2020★ 21 cited

Second order chiral kinetic theory under gravity and antiparallel charge-energy flow

Tomoya Hayata, Yoshimasa Hidaka, Kazuya Mameda

We derive the chiral kinetic theory under the presence of a gravitational Riemann curvature. It is well-known that in the chiral kinetic theory there inevitably appears a redundant…

hep-th2018★ 9 cited

Diffusive Nambu-Goldstone modes in quantum time-crystals

Tomoya Hayata, Yoshimasa Hidaka

We study the Nambu-Goldstone (NG) modes associated with spontaneous breaking of the continuous time-translation symmetry. To discuss a quantum time-crystal with the spontaneously-b…

hep-th2015★ 93 cited

Lefschetz-thimble analysis of the sign problem in one-site fermion model

Yuya Tanizaki, Yoshimasa Hidaka, Tomoya Hayata

The Lefschetz-thimble approach to path integrals is applied to a one-site model of electrons, i.e., the one-site Hubbard model. Since the one-site Hubbard model shows a non-analyti…

hep-th2014★ 40 cited

Dispersion relations of Nambu-Goldstone modes at finite temperature and density

Tomoya Hayata, Yoshimasa Hidaka

We discuss the dispersion relations of Nambu-Goldstone (NG) modes associated with spontaneous breaking of internal symmetries at finite temperature and/or density. We show that the…

hep-th2014★ 11 cited

Schwinger Mechanism with Stochastic Quantization

Kenji Fukushima, Tomoya Hayata

We prescribe a formulation of the particle production with real-time Stochastic Quantization. To construct the retarded and the time-ordered propagators we decompose the stochastic…

hep-th2013★ 25 cited

Broken spacetime symmetries and elastic variables

Tomoya Hayata, Yoshimasa Hidaka

We discuss spontaneous breaking of continuum symmetries, whose generators do explicitly depend on the spacetime coordinates. We clarify the relation between broken symmetries and e…