2–8 Nov 2025
TIFR Mumbai
Asia/Kolkata timezone

Analysis of Finite Density 3d Complex Scalar Theory by MDTRG

5 Nov 2025, 09:40
20m
Homi Bhabha Auditorium Annex

Homi Bhabha Auditorium Annex

Speaker

Hayato Aizawa (Kanazawa University)

Description

Tensor Renormalization Group (TRG) is a promising numerical
method for systems with the sign problem. However, the computational
cost increases exponentially with the dimension, which makes the
development of effective algorithms for three-dimensional or
four-dimensional models a crucial challenge. As a first step toward
addressing this, we study the three-dimensional finite-density complex
scalar model using the MDTRG, which has been proposed as an efficient
algorithm. This model possesses the Silver Blaze phenomenon, which also
occurs in low-temperature, finite-density QCD. We determine the critical
chemical potential from computations of particle number density and
scalar field expectation values, as well as demonstrate that the MDTRG
efficiently works for systems in three-dimensional field theory.

Parallel Session (for talks only) Theoretical developments and applications beyond Standard Model

Author

Hayato Aizawa (Kanazawa University)

Co-authors

Daisuke Kadoh (Meiji Gakuin University) Gota Tanaka (Meiji Gakuin University) Katsumasa Nakayama (RIKEN) Shinji Takeda (Kanazawa University)

Presentation materials

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