منابع مشابه
RG Flow , Wilson Loops and the Dilaton Tadpole
We discuss the role of the dilaton tadpole in the holographic description of non-supersymmetric gauge theories that are conformal in the planar limit. On the string theory side, the presence of the dilaton tadpole modifies the AdS background inducing a logarithmic running for the radius and the dilaton. Using the holographic prescription we compute the Wilson loop on the gravity side and find a...
متن کاملGinsparg-Wilson Relation, Topological Invariants and Finite Noncommutative Geometry
We show that the Ginsparg-Wilson (GW) relation can play an important role to define chiral structures in finite noncommutative geometries. Employing GW relation, we can prove the index theorem and construct topological invariants even if the system has only finite degrees of freedom. As an example, we consider a gauge theory on a fuzzy two-sphere and give an explicit construction of a noncommut...
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In noncommutative field theories, it was known that one-loop effective action describes propagation of non-interacting open Wilson lines, obeying the flying dipole’s relation. We show that two-loop effective action describes cubic interaction among ‘closed string’ states created by open Wilson line operators. Taking d-dimensional λ[Φ]⋆-theory as the simplest setup, we compute nonplanar contribu...
متن کاملGinsparg-Wilson Relation and Admissibility Condition in Noncommutative Geometry
Noncommutative (NC) geometry1) had attracted much attention recently from various motivations. Topologically nontrivial configurations in finite NC geometries or matrix models2)3) have been constructed based on algebraic K-theory and projective modules in many papers, but it would be better if we could obtain an index operator which takes an integer even at a finite cutoff, since we need to per...
متن کاملChiral Anomaly and Ginsparg-Wilson Relation on the Noncommutative Torus
We evaluate chiral anomaly on the noncommutative torus with the overlap Dirac operator satisfying the Ginsparg-Wilson relation in arbitrary even dimensions. Utilizing a topological argument we show that the chiral anomaly is combined into a form of the Chern character with star products. ∗) E-mail: [email protected] ∗∗) E-mail: [email protected] 1 typeset using PTPTEX.cls 〈Ver.0.89〉
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ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2015
ISSN: 0217-751X,1793-656X
DOI: 10.1142/s0217751x1550195x