Space-time noncommutative field theories and unitarity

By Joaquim Gomis, Thomas Mehen. 2000

489 citations recorded by the source corpus.

Abstract We study the perturbative unitarity of noncommutative scalar field theories. Field theories with space–time noncommutativity do not have a unitary S-matrix. Field theories with only space noncommutativity are perturbatively unitary. This can be understood from string theory, since space noncommutative field theories describe a low energy limit of string theory in a background magnetic field. On the other hand, there is no regime in which space–time noncommutative field theory is an appropriate description of string theory. Whenever space–time noncommutative field theory becomes relevant massive open string states cannot be neglected.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/568e543c76a4121e015c93ac4379e7c6cae76e1f

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Space/time non-commutativity and causality (2000, background): “We remark that such a theory fails to be unitary at the 1–loop level [9].”
Noncommutative field theory (2001, background): “This shows up in unphysical branch cut singularities in loop diagrams (Gomis and Mehen, 2000) and can also be seen from the behavior of the propagator and commutators of fields (Alvarez-Gaume, Barbon and Zwicky, 2001); see also (Seiberg, Susskind and Toumbas, 2000a).”
Nonrelativistic closed string theory (2000, background): “Since massive states cannot be neglected, the field theory truncation is not unitary [5,6,7].”
On theories with light-like noncommutativity (2000, background): “In [6] unitarity of space-like noncommutative field theories and time-like noncommutative theories was studied at the one loop level, and it was found that space-like noncommutative theories are unitary while time-like noncommutative theories are not unitary.”
Comments on perturbative dynamics of non-commutative Yang–Mills theory (2000, unknown): “ar X iv :h ep -t h/ 00 05 20”
On the unitarity problem in space/time noncommutative theories (2002, background): “The formalism unfortunately suffers from a violation of unitarity, as was first remarked in [4] (cf.”
Moyal Planes are Spectral Triples (2003, background): “Its bane is the trouble with both unitarity and causality [39, 78].”
Quantum field theory on noncommutative spaces (2001, background): “Such a quantum eld theory is neither causal nor unitary in certain instances [84].”
OM theory in diverse dimensions (2000, methodology): “As the name NCOS theory (Non-Commutative Open String) indicates, they exhibit non-commutativity of space and time coordinates (spacetime noncommutativity was also considered in [4,5,6,7,8] .”