Topological Susceptibility and Contact Term in QCD. A Toy Model

dependence, the non-dispersive contribution in topological susceptibility with the 'wrong' sign, topological sectors in gauge theories, and related subjects using a simple 'deformed QCD'. This model is a weakly coupled gauge theory, which however has all the relevant essential elements allowing us to study difficult and nontrivial questions which are known to be present in real strongly coupled QCD. Essentially we want to test the ideas related to the

U(1)_A

problem in a theoretically controllable manner using the 'deformed QCD' as a toy model. One can explicitly see microscopically how the crucial elements work.

Note:

Journal ref is provided. Part on the Casimir correction is removed from this paper, and published in Phys.Rev. D86 (2012) 065029

11.15.-q
quantum chromodynamics: strong coupling
effect: Casimir
dark energy

References(20)

Figures(0)

[1]

Current Algebra Theorems for the U(1) Goldstone Boson

Edward Witten
(
- Harvard U.
)

- Nucl.Phys.B 156 (1979) 269-283
•
DOI:
- 10.1016/0550-3213(79)90031-2

[2]

U(1) Without Instantons

G. Veneziano
(
- CERN
)

- Nucl.Phys.B 159 (1979) 213-224
•
DOI:
- 10.1016/0550-3213(79)90332-8

[3]

Chiral Dynamics in the Large n Limit

P. Di Vecchia
(
- Freie U., Berlin
)
,
G. Veneziano
(
- CERN
)

- Nucl.Phys.B 171 (1980) 253-272
•
DOI:
- 10.1016/0550-3213(80)90370-3

[4]

Is the Effective Lagrangian for QCD a Sigma Model?

- Phys.Rev.D 21 (1980) 3388,
•
DOI:
- 10.1103/PhysRevD.21.3388

[5]

The U(1) Problem: Current Algebra and the Theta Vacuum

Pran Nath
(
- Harvard U.
)
,
Richard L. Arnowitt
(
- Northeastern U.
)

- Phys.Rev.D 23 (1981) 473
•
DOI:
- 10.1103/PhysRevD.23.473

[6]

The Problem of $\eta$ in the Large $N$ Limit: Effective Lagrangian Approach

- Nucl.Phys.B 175 (1980) 477-492
•
DOI:
- 10.1016/0550-3213(80)90024-3

[7]

Center-stabilized Yang-Mills theory: Confinement and large N volume independence

Mithat Unsal
(
- SLAC and
- Stanford U., Phys. Dept.
)
,
Laurence G. Yaffe
(
- Washington U., Seattle
)

- Phys.Rev.D 78 (2008) 065035
•
e-Print:
- 0803.0344
•
DOI:
- 10.1103/PhysRevD.78.065035

[8]

Entropy, Contact Interaction with Horizon and Dark Energy

Ariel R. Zhitnitsky
(
- British Columbia U.
)

- Phys.Rev.D 84 (2011) 124008
•
e-Print:
- 1105.6088
•
DOI:
- 10.1103/PhysRevD.84.124008

[9]

How to Solve the eta --> 3 pi Problem by Seizing the Vacuum

John B. Kogut
(
- Cornell U., LNS
)
,
Leonard Susskind
(
- Yeshiva U. and
- Tel Aviv U.
)

- Phys.Rev.D 11 (1975) 3594,
- Phys.Rev.D11 (1975) 3594-3610 and Cornell Univ Ithaca - CLNS-290 (74,REC.JAN 75) 44p
•
DOI:
- 10.1103/PhysRevD.11.3594