The Yang–Mills vacuum wave functional thirty-five years later - INSPIRE

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The Yang–Mills vacuum wave functional thirty-five years later

Štefan Olejník
(
- Bratislava, Inst. Phys.
)

Mar 4, 2015

12 pages

Part of Proceedings, 4th Symposium on Prospects in the Physics of Discrete Symmetries (DISCRETE 2014) : London, UK, December 2-6, 2014

Published in:

J.Phys.Conf.Ser. 631 (2015) 1, 012057

Contribution to:

- DISCRETE 2014

Published: Jul 30, 2015

e-Print:

1503.01296 [hep-lat]

DOI:

10.1088/1742-6596/631/1/012057

View in:

ADS Abstract Service

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Abstract: (IOP)

Beside anniversaries of the important discoveries celebrated at the DISCRETE 2014 Symposium, there is another worth to mention: The first paper attempting direct calculation of the Yang–Mills vacuum wave functional was published by Greensite in 1979. I review some recent results of the determination of the vacuum wave functional in Monte Carlo simulations of SU(2) lattice gauge theory.

Note:

17 pages, 17 figures; based on talks presented at the DISCRETE 2014 Symposium, King's College, London, UK, Dec. 2-6, 2014, and at the 4th Winter Workshop on Non-Perturbative Quantum Field Theory, INLN, Sophia Antipolis, France, Feb. 2-5, 2015

numerical calculations: Monte Carlo
field theory: Yang-Mills
lattice field theory
gauge field theory: SU(2)
review
lattice
vacuum state: wave function
dimension: 3

References(37)

Figures(17)

[1]

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J.P. Greensite
(
- UC, Santa Cruz
)

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•
DOI:
- 10.1016/0550-3213(79)90178-0

[2]

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Richard P. Feynman
(
- Caltech
)

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•
DOI:
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[3]

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•
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•
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•
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[6]

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J. Greensite
(
- San Francisco State U.
)
,
H. Matevosyan
(
- Indiana U.
)
,
S. Olejnik
(
- Bratislava, Inst. Phys.
)
,
M. Quandt
(
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)
,
H. Reinhardt
(
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)

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•
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•
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J.P. Greensite
(
- UC, Santa Cruz
)

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•
DOI:
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[8]

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(
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)
,
Qi-Zhou Chen
(
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•
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•
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•
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[12]

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Sebastian Krug
(
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[13]

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•
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•
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Abhishek Agarwal
(
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)
,
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)
,
V.P. Nair
(
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)

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•
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•
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Robert G. Leigh
(
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)
,
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(
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)
,
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(
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)

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•
e-Print:
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•
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Robert G. Leigh
(
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)
,
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(
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)
,
Alexandr Yelnikov
(
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)

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•
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Laurent Freidel
(
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- Lyon, Ecole Normale Superieure
)

e-Print:
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[19]

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[20]

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(
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)
,
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(
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)

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•
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•
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[21]

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C. Feuchter
(
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)
,
H. Reinhardt
(
- Tubingen U.
)

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•
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•
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[22]

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(
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•
e-Print:
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•
DOI:
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[23]

Dimensional Reduction and the Yang-Mills Vacuum State in 2+1 Dimensions

J. Greensite
(
- Bohr Inst. and
- San Francisco State U.
)
,
S. Olejnik
(
- Bratislava, Inst. Phys.
)

- Phys.Rev.D 77 (2008) 065003
•
e-Print:
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•
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[24]

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•
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[25]

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•
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•
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