Dominance of a single topological sector in gauge theory on non-commutative geometry

H.S. Snyder, Quantized space-time , Phys. Rev

1947

Earlier work this paper cites.

M. F. Atiyah and I. M. Singer, The index of elliptic operators. 5 , Annals Math

1971

Earlier work this paper cites.

D.J. Gross and E. Witten, Possible third order phase transition in the large N N lattice gauge theory

1980

Earlier work this paper cites.

T. Eguchi and H. Kawai, Reduction of dynamical degrees of freedom in the large N gauge theory , Phys. Rev. Lett

1982

Earlier work this paper cites.

P. H. Ginsparg and K. G. Wilson, A remnant of chiral symmetry on the lattice , Phys. Rev

1982

Earlier work this paper cites.

M. Lüscher, Topology of lattice gauge fields , Commun. Math. Phys

1982

Earlier work this paper cites.

A. González-Arroyo and M. Okawa, A twisted model for large N N lattice gauge theory

1983

Earlier work this paper cites.

A. Connes, Noncommutative geometry, Academic Press,

1990

Earlier work this paper cites.

E. V. Shuryak and J. J. M. Verbaarschot, Random matrix theory and spectral sum rules for the Dirac operator in QCD , Nucl. Phys

Original

1993

Earlier work this paper cites.

S. Doplicher, K. Fredenhagen and J.E. Roberts, The quantum structure of spacetime at the Planck scale and quantum fields

1995

Earlier work this paper cites.

A. S. Hassan, M. Imachi, N. Tsuzuki and H. Yoneyama, Character expansion, zeros of partition function and theta term in U(1) gauge theory , Prog. Theor. Phys

1995

Earlier work this paper cites.

T. Banks, W. Fischler, S. H. Shenker and L. Susskind, M theory as a matrix model: A conjecture , Phys. Rev

1997

Earlier work this paper cites.

N. Ishibashi, H. Kawai, Y. Kitazawa, and A. Tsuchiya, A large-N reduced model as superstring , Nucl. Phys

1997

Earlier work this paper cites.

C. R. Gattringer, I. Hip and C. B. Lang, Quantum fluctuations versus topology: A study in U(1) 2 lattice gauge theory , Phys. Lett

1997

Earlier work this paper cites.

A. Connes, M. R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: Compactification on tori

1998

Cited alongside, same era.

H. Neuberger, Exactly massless quarks on the lattice , Phys. Lett

1998

Cited alongside, same era.

M. Lüscher, Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation , Phys. Lett

1998

Cited alongside, same era.

P. Hasenfratz, V. Laliena and F. Niedermayer, The index theorem in QCD with a finite cut-off , Phys. Lett

1998

Cited alongside, same era.

N. Seiberg and E. Witten, String theory and non-commutative geometry

1999

Cited alongside, same era.

H. Aoki, N. Ishibashi, S. Iso, H. Kawai, Y. Kitazawa and T. Tada, Noncommutative Yang-Mills in IIB matrix model

2000

H. Steinacker, Quantized gauge theory on the fuzzy sphere as random matrix model , Nucl. Phys

2004

Later among the works it cites.

H. Aoki, S. Iso, T. Maeda and K. Nagao, Dynamical generation of a nontrivial index on the fuzzy 2-sphere , Phys. Rev

2005

Later among the works it cites.

P. Aschieri, J. Madore, P. Manousselis and G. Zoupanos, Dimensional reduction over fuzzy coset spaces , J. High Energy Phys

2006

Later among the works it cites.

W. Bietenholz, J. Nishimura, Y. Susaki and J. Volkholz, A non-perturbative study of 4d U(1) non-commutative gauge theory: The fate of one-loop instability , J. High Energy Phys

Original

2006

Later among the works it cites.

H. Aoki, J. Nishimura and Y. Susaki, The index of the overlap Dirac operator on a discretized 2d non-commutative torus , J. High Energy Phys

2007

Later among the works it cites.