Schwinger-Keldysh formalism on the lattice: A faster algorithm and its application to field theory - INSPIRE

DataBETA

Schwinger-Keldysh formalism on the lattice: A faster algorithm and its application to field theory

Andrei Alexandru
(
- George Washington U.
)
,
Gokce Basar
(
- Illinois U., Chicago
)
,
Paulo F. Bedaque
(
- Maryland U.
)
,
Gregory W. Ridgway
(
- Maryland U.
)

Apr 21, 2017

11 pages

Published in:

Phys.Rev.D 95 (2017) 11, 114501

Published: Jun 6, 2017

e-Print:

1704.06404 [hep-lat]

DOI:

10.1103/PhysRevD.95.114501

View in:

reference search65 citations

Citations per year

Abstract: (APS)

A new algorithm is developed allowing the Monte Carlo study of a 1+1-dimensional theory in real time. The main algorithmic development is to avoid the explicit calculation of the Jacobian matrix and its determinant in the update process. This improvement has a wide applicability and reduces the cost of the update in thimble-inspired calculations from O(N3) to less than O(N2). As an additional feature, the algorithm leads to improved Monte Carlo proposals. We exemplify the use of the algorithm to the real-time dynamics of a scalar ϕ4 theory with weak and strong couplings.

Note:

12 pages, 5 figures

space-time: dimension: 2
path integral
numerical calculations: Monte Carlo
strong coupling
weak coupling
fermion: determinant
lattice
phi**n model: 4
numerical methods: efficiency
holography

References(30)

Figures(9)

[1]

Soft Amplitudes in Hot Gauge Theories: A General Analysis

Eric Braaten
(
- Northwestern U.
)
,
Robert D. Pisarski
(
- Fermilab and
- Brookhaven
)

- Nucl.Phys.B 337 (1990) 569-634
•
DOI:
- 10.1016/0550-3213(90)90508-B

[2]

From quantum field theory to hydrodynamics: Transport coefficients and effective kinetic theory

- Phys.Rev.D 53 (1996) 5799-5809
•
e-Print:
- hep-ph/9512263
•
DOI:
- 10.1103/PhysRevD.53.5799

[3]

Brownian motion of a quantum oscillator

Julian S. Schwinger
(
- Harvard U.
)

- J.Math.Phys. 2 (1961) 407-432
•
DOI:
- 10.1063/1.1703727

[4]

Diagram technique for nonequilibrium processes

L.V. Keldysh
(
- Lebedev Inst.
)

- Zh.Eksp.Teor.Fiz. 47 (1964) 1515-1527,
- Sov.Phys.JETP 20 (1965) 1018
•
DOI:
- 10.1142/9789811279461_0007

[4]

Diagram technique for nonequilibrium processes

L.V. Keldysh
(
- Lebedev Inst.
)

- Zh.Eksp.Teor.Fiz. 47 (1964) 1515-1527,
- Sov.Phys.JETP 20 (1965) 1018
•
DOI:
- 10.1142/9789811279461_0007

[5]

Thermal Green's Functions and Transport Coefficients on the Lattice

F. Karsch
(
- CERN
)
,
H.W. Wyld
(
- Illinois U., Urbana
)

- Phys.Rev.D 35 (1987) 2518
•
DOI:
- 10.1103/PhysRevD.35.2518

[6]

Real time hadron properties at finite temperature from a Euclidean lattice

S. Huang
(
- Washington U., Seattle
)

- Phys.Rev.D 47 (1993) 653-660
•
DOI:
- 10.1103/PhysRevD.47.653

[7]

A Calculation of the bulk viscosity in SU(3) gluodynamics

Harvey B. Meyer
(
- MIT, LNS
)

- Phys.Rev.Lett. 100 (2008) 162001
•
e-Print:
- 0710.3717
•
DOI:
- 10.1103/PhysRevLett.100.162001

[8]

A Calculation of the shear viscosity in SU(3) gluodynamics

Harvey B. Meyer
(
- MIT, LNS
)

- Phys.Rev.D 76 (2007) 101701
•
e-Print:
- 0704.1801
•
DOI:
- 10.1103/PhysRevD.76.101701

[9]

Thermal dilepton rate and electrical conductivity: An analysis of vector current correlation functions in quenched lattice QCD

H.-T. Ding
(
- Bielefeld U. and
- Brookhaven
)
,
A. Francis
(
- Bielefeld U.
)
,
O. Kaczmarek
(
- Bielefeld U.
)
,
F. Karsch
(
- Bielefeld U. and
- Brookhaven
)
,
E. Laermann
(
- Bielefeld U.
)

et al.

- Phys.Rev.D 83 (2011) 034504
•
e-Print:
- 1012.4963
•
DOI:
- 10.1103/PhysRevD.83.034504

[10]

Perturbation Theory Without Gauge Fixing

G. Parisi
(
- Beijing, Inst. Theor. Phys. and
- Frascati
)
,
Yong-shi Wu
(
- Beijing, Inst. Theor. Phys.
)

- Sci.Sin. 24 (1981) 483,
- Sci. Sin. 24 ( 1981) 483-496

[12]

Argument for justification of the complex Langevin method and the condition for correct convergence

Keitaro Nagata
(
- KEK, Tsukuba
)
,
Jun Nishimura
(
- KEK, Tsukuba and
- Sokendai, Tsukuba
)
,
Shinji Shimasaki
(
- Keio U. and
- KEK, Tsukuba
)

- Phys.Rev.D 94 (2016) 11, 114515
•
e-Print:
- 1606.07627
•
DOI:
- 10.1103/PhysRevD.94.114515

[13]

Simulating nonequilibrium quantum fields with stochastic quantization techniques

J. Berges
(
- Heidelberg U.
)
,
I.-O. Stamatescu
(
- Heidelberg U. and
- Heidelberg, FEST
)

- Phys.Rev.Lett. 95 (2005) 202003
•
e-Print:
- hep-lat/0508030
•
DOI:
- 10.1103/PhysRevLett.95.202003

[14]

Lattice simulations of real-time quantum fields

- Phys.Rev.D 75 (2007) 045007
•
e-Print:
- hep-lat/0609058
•
DOI:
- 10.1103/PhysRevD.75.045007

[15]

M. Mizutani
,
S. Muroya
,
A. Nakamura

- PoS 2008 200

[16]

New approach to the sign problem in quantum field theories: High density QCD on a Lefschetz thimble

AuroraScience

Collaboration

•

Marco Cristoforetti
(
- ECT, Trento
)

et al.

- Phys.Rev.D 86 (2012) 074506
•
e-Print:
- 1205.3996
•
DOI:
- 10.1103/PhysRevD.86.074506

[17]

Sign problem and Monte Carlo calculations beyond Lefschetz thimbles

Andrei Alexandru
(
- George Washington U.
)
,
Gokce Basar
(
- Maryland U.
)
,
Paulo F. Bedaque
(
- Maryland U.
)
,
Gregory W. Ridgway
(
- Maryland U.
)
,
Neill C. Warrington
(
- Maryland U.
)

- JHEP 05 (2016) 053
•
e-Print:
- 1512.08764
•
DOI:
- 10.1007/JHEP05(2016)053

[18]

Monte Carlo Study of Real Time Dynamics on the Lattice

- Phys.Rev.Lett. 117 (2016) 8, 081602
•
e-Print:
- 1605.08040
•
DOI:
- 10.1103/PhysRevLett.117.081602

[19]

Monte Carlo calculations of the finite density Thirring model

- Phys.Rev.D 95 (2017) 1, 014502
•
e-Print:
- 1609.01730
•
DOI:
- 10.1103/PhysRevD.95.014502

[20]

Tempered transitions between thimbles

Andrei Alexandru
(
- George Washington U.
)
,
Gokce Basar
(
- Illinois U., Chicago and
- Maryland U.
)
,
Paulo F. Bedaque
(
- Maryland U.
)
,
Neill C. Warrington
(
- Maryland U.
)

- Phys.Rev.D 96 (2017) 3, 034513
•
e-Print:
- 1703.02414
•
DOI:
- 10.1103/PhysRevD.96.034513

[21]

Fast estimator of Jacobians in the Monte Carlo integration on Lefschetz thimbles

- Phys.Rev.D 93 (2016) 9, 094514
•
e-Print:
- 1604.00956
•
DOI:
- 10.1103/PhysRevD.93.094514

[22]

Study of symmetry breaking in a relativistic Bose gas using the contraction algorithm

- Phys.Rev.D 94 (2016) 4, 045017
•
e-Print:
- 1606.02742
•
DOI:
- 10.1103/PhysRevD.94.045017

[23]

A Fast Algorithm for Monte Carlo Simulations of Systems With Fermions

M. Grady
(
- Argonne
)

- Phys.Rev.D 32 (1985) 1496
•
DOI:
- 10.1103/PhysRevD.32.1496

[24]

Algorithms for Simulating Fermions

Michael Creutz
(
- Brookhaven
)

- Adv.Ser.Direct.High Energy Phys. 11 (1992) 275-303
•
DOI:
- 10.1142/9789814439732_0006

[25]

Monte Carlo algorithm for simulating fermions on Lefschetz thimbles

Andrei Alexandru
(
- George Washington U.
)
,
Gökçe Basar
(
- Maryland U.
)
,
Paulo Bedaque
(
- Maryland U.
)

- Phys.Rev.D 93 (2016) 1, 014504
•
e-Print:
- 1510.03258
•
DOI:
- 10.1103/PhysRevD.93.014504

1-25 of 30
1
2
25 / page