Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential

C. N. Yang and D. Feldman, “The S Matrix In The Heisenberg Representation,” Phys. Rev. 79

1950

Earlier work this paper cites.

M. A. Evgrafov, “Asymptotic Estimates and Entire Functions,” Gordon and Breach, 1961

1961

Earlier work this paper cites.

M. Abramowitz and I. A. Stegun, “Handbook of mathematical functions,” Dover 1964

1964

Earlier work this paper cites.

I. M. Gel’fand and G. E. Shilov, “Generalized Functions II,” Academic Press 1964

1964

Earlier work this paper cites.

I. S. Gradshteyn and I. M. Ryzhik, “Table of integrals, series and products,” Fourth edition, Academic Press 1965

1965

Earlier work this paper cites.

F. G. Friedlander, “The wave equation on a curved space-time,” Cambridge University Press, 1975

1975

Earlier work this paper cites.

L. Hörmander, “The Analysis of Linear Partial Differential Operators I,” Second Edition, Springer, 1990

1990

Earlier work this paper cites.

C. G. Bollini and L. E. Oxman, “Shannon entropy and the eigenstates of the single-mode squeeze operator,” Phys. Rev. A 47

1993

Earlier work this paper cites.

S. Doplicher, K. Fredenhagen and J. E. Roberts, “The Quantum structure of space-time at the Planck scale and quantum fields,” Commun. Math. Phys. 172

1995

Earlier work this paper cites.

T. Filk, “Divergencies in a field theory on quantum space,” Phys. Lett. B 376

1996

Earlier work this paper cites.

R. Brunetti, K. Fredenhagen and M. Köhler, “The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes,” Commun. Math. Phys. 180

1996

Cited alongside, same era.

S. Minwalla, M. Van Raamsdonk and N. Seiberg, “Noncommutative perturbative dynamics,” JHEP 0002

2000

Cited alongside, same era.

J. Gomis and T. Mehen, “Space-time noncommutative field theories and unitarity,” Nucl. Phys. B 591

2000

Cited alongside, same era.

O. Steinmann, “Perturbation Expansions in Axiomatic Field Theory,” Springer, 1971. R. Brunetti and K. Fredenhagen, “Microlocal analysis and interacting quantum field theories: Renormalization on physical backgrounds,” Commun. Math. Phys. 208

2000

Cited alongside, same era.

D. Bahns, S. Doplicher, K. Fredenhagen and G. Piacitelli, “On the unitarity problem in space/time noncommutative theories,” Phys. Lett. B 533

H. Grosse and R. Wulkenhaar, “The β \beta -function in duality-covariant noncommutative ϕ 4 \phi^{4} -theory,” Eur. Phys. J. C 35

2004

Later among the works it cites.

D. Chruscinski, “Quantum mechanics of damped systems II. Damping and Parabolic Potential Barrier,” J. Math. Phys. 45

2004

Later among the works it cites.

D. Bahns, S. Doplicher, K. Fredenhagen and G. Piacitelli, “Field Theory on Noncommutative Spacetimes: Quasiplanar Wick Products,” Phys. Rev. D 71

2005

Later among the works it cites.

H. Grosse and R. Wulkenhaar, “Renormalisation of ϕ 4 \phi^{4} theory on noncommutative ℝ 4 \mathbb{R}^{4} in the matrix base,” Commun. Math. Phys. 256

2005

Later among the works it cites.

R. J. Szabo, “Quantum Field Theory on Noncommutative Spaces,” Phys. Rept. 378

Original

2006

Later among the works it cites.