UV/IR mixing via closed strings and tachyonic instabilities

2001/10/31 by Adi Armoni, Esperanza López, Esperanza Lopez · 2 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Gauge theory #Mathematical physics #Mixing (physics) #Noncommutative and Quantum Gravity Theories #Operator (biology) #Physics #Quantum mechanics #String (physics) #String field theory #Tachyon #Theoretical physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(02)00290-0

published as Nucl.Phys. B632 (2002) 240-256 · 24 pages, Latex. 2 figures. v2: comments after eq.(44) and references added. To appear in Nucl.Phys.B

arxiv created 2002/04/10 · openalex publication_date 2002/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We discuss UV/IR mixing effects in non-supersymmetric non-commutative U(N) gauge theories. We show that the singular (non-planar) terms in the 2- and 3-point functions, namely the poles and the logarithms, can be obtained from a manifestly gauge invariant effective action. The action, which involves open Wilson line operators, can be derived from closed strings exchange between two stacks of D-branes. Our concrete example is type 0B string theory and the field theory that lives on a collection of N electric D3-branes. We show that one of the closed string modes that couple to the field theory operator which is responsible for the infrared poles, is the type 0 tachyon.

Citations

• String theory and noncommutative geometry
• The meaning of infrared singularities in noncommutative gauge theories
• Perturbative analysis on infrared and ultraviolet aspects of noncommutative QED on R⁴
• How noncommutative gauge theories couple to gravity
• Surprises in open-string perturbation theory
• Paramagnetic dominance, the sign of the beta function and UV/IR mixing in non-commutative U(1)
• D-branes and short distances in string theory
• On the stringy nature of winding modes in noncommutative thermal field theories
• Noncommutative Φ4 theory at two loops
• Noncommutative geometry and Matrix theory

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• String states, loops and effective actions in noncommutative field theory and matrix models
• A non-commutative version of the minimal supersymmetric standard model