UV / IR mixing via closed strings and tachyonic instabilities

Oct, 2001
23 pages
Published in:
  • Nucl.Phys.B 632 (2002) 240-256
e-Print:
Report number:
  • CERN-TH-2001-272

Citations per year

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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.
Note:
  • 24 pages, Latex. 2 figures. v2: comments after eq.(44) and references added. To appear in Nucl.Phys.B Report-no: CERN-TH/2001-272
  • gauge field theory: U(N)
  • Higgs model
  • differential geometry: noncommutative
  • two-point function
  • n-point function: 3
  • effective action
  • analytic properties
  • string: closed
  • tachyon
  • membrane model: D-brane