New linearization and reweighting for simulations of string sigma-model on the lattice - INSPIRE

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New linearization and reweighting for simulations of string sigma-model on the lattice

Lorenzo Bianchi
(
- Queen Mary, U. of London
)
,
Valentina Forini
(
- London, City U. and
- Humboldt U., Berlin
)
,
Björn Leder
(
- Humboldt U., Berlin
)
,
Philipp Töpfer
(
- Humboldt U., Berlin
)
,
Edoardo Vescovi
(
- Imperial Coll., London
)

Oct 15, 2019

27 pages

Published in:

JHEP 01 (2020) 174

Published: Jan 28, 2020

e-Print:

1910.06912 [hep-th]

DOI:

10.1007/JHEP01(2020)174

Report number:

HU-EP-19/29,
Imperial-TP-EV-2019-04

View in:

reference search9 citations

Citations per year

Abstract: (Springer)

We study the discretized worldsheet of Type IIB strings in the Gubser-Klebanov-Polyakov background in a new setup, which eliminates a complex phase previously detected in the fermionic determinant. A sign ambiguity remains, which a study of the fermionic spectrum shows to be related to Yukawa-like terms, including those present in the original Lagrangian before the linearization standard in a lattice QFT approach. Monte Carlo simulations are performed in a large region of the parameter space, where the sign problem starts becoming severe and instabilities appear due to the zero eigenvalues of the fermionic operator. To face these problems, simulations are conducted using the absolute value of a fermionic Pfaffian obtained introducing a small twisted-mass term, acting as an infrared regulator, into the action. The sign of the Pfaffian and the low modes of the quadratic fermionic operator are then taken into account by a reweighting procedure of which we discuss the impact on the measurement of the observables. In this setup we study bosonic and fermionic correlators and observe a divergence in the latter, which we argue — also via a one-loop analysis in lattice perturbation theory — to originate from the U(1)-breaking of our Wilson-like discretization for the fermionic sector.

Note:

v1: 9 figures, 27 pages of which the first 9 overlap with Proceedings in arxiv:1702.02005; v2: cosmetic modification of one plot; v3: it matches the version published in JHEP (modified introduction and abstract)

AdS-CFT Correspondence
Integrable Field Theories
Lattice Quantum Field Theory
Wilson, ’t Hooft and Polyakov loops
fermion: operator
fermion: correlation function
fermion: determinant
string: Green-Schwarz
numerical calculations: Monte Carlo
lattice field theory

References(37)

Figures(15)

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(
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