Scalar QED$_2$ with a topological term - a lattice study in a dual representation - INSPIRE

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Scalar QED $_2$ with a topological term - a lattice study in a dual representation

Thomas Kloiber
(
- Graz U.
)
,
Christof Gattringer
(
- Graz U.
)

Oct 13, 2014

7 pages

e-Print:

1410.3216 [hep-lat]

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Abstract: (arXiv)

We present a dual representation for the partition function of 2-dimensional scalar quantum electrodynamics with a topological term (

\theta

-term). In the dual representation the complex action problem at non-zero

\theta

is absent, which is an obstacle for Monte Carlo simulations in the conventional form of the model. We discuss the technical aspects of the dual representation and show that a dual Monte Carlo simulation can be implemented. As a first application we demonstrate how the

2\pi

-periodicity of physical observables is recovered in a suitable continuum limit.

Note:

Contribution to LATTICE 2014

quantum electrodynamics: scalar
numerical calculations: Monte Carlo
action: complex
duality: transformation
topological
partition function
continuum limit
lattice
dimension: 2
Theta parameter

References(9)

Figures(1)

[1]

New developments for dual methods in lattice field theory at non-zero density

Christof Gattringer
(
- Graz U.
)

- PoS LATTICE2013 (2014) 002
•
e-Print:
- 1401.7788
•
DOI:
- 10.22323/1.187.0002

[1]

New developments for dual methods in lattice field theory at non-zero density

Christof Gattringer
(
- Graz U.
)

- PoS LATTICE2013 (2014) 002
•
e-Print:
- 1401.7788
•
DOI:
- 10.22323/1.187.0002

[2]

TOPOLOGICAL CHARGE IN THE LATTICE ABELIAN HIGGS MODEL

- Phys.Lett.B 124 (1983) 383-386
•
DOI:
- 10.1016/0370-2693(83)91478-8

[2]

Numerical Simulation of Lattice $\theta$ Vacua: The 2- $d$ U(1) Gauge Theory as a Test Case

U.J. Wiese
(
- Julich, NIC
)

- Nucl.Phys.B 318 (1989) 153-175
•
DOI:
- 10.1016/0550-3213(89)90051-5

[3]

Phase Structure, Magnetic Monopoles and Vortices in the Lattice Abelian Higgs Model

- Phys.Rev.D 28 (1983) 360
•
DOI:
- 10.1103/PhysRevD.28.360

[4]

Lattice Vortices in the Two-dimensional Abelian Higgs Model

S. Grunewald
(
- Humboldt U., Berlin
)
,
Ernst-Michael Ilgenfritz
(
- Leipzig U.
)
,
M. Muller-Preussker
(
- Dubna, JINR
)

- Z.Phys.C 33 (1987) 561
•
DOI:
- 10.1007/BF01548269

[5]

Vortices and Monopoles, Birkhäuser

A. Jaffe
,
C. Taubes

[6]

Dual Lattice Simulation of the Abelian Gauge-Higgs Model at Finite Density: An Exploratory Proof of Concept Study

- Phys.Rev.Lett. 111 (2013) 14, 141601
•
e-Print:
- 1307.6120
•
DOI:
- 10.1103/PhysRevLett.111.141601

[6]

Surface worm algorithm for abelian Gauge-Higgs systems on the lattice

- Comput.Phys.Commun. 184 (2013) 1535-1546
•
e-Print:
- 1211.3436
•
DOI:
- 10.1016/j.cpc.2013.02.001