Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-10-06
Phys.Rev. D73 (2006) 046004
Physics
High Energy Physics
High Energy Physics - Theory
v2: cases divided into sections with more detailed explanations. considerably enlarged with examples and a lot of figures. sec
Scientific paper
10.1103/PhysRevD.73.046004
In the real time formulation of finite temperature field theories, one introduces an additional set of fields (type-2 fields) associated to each field in the original theory (type-1 field). In hep-th/0106112, in the context of the AdS-CFT correspondence, Maldacena interpreted type-2 fields as living on a boundary behind the black hole horizon. However, below the Hawking-Page transition temperature, the thermodynamically preferred configuration is the thermal AdS without a black hole, and hence there are no horizon and boundary behind it. This means that when the dual gauge theory is in confined phase, the type-2 fields cannot be associated with the degrees of freedom behind the black hole horizon. I argue that in this case the role of the type-2 fields is to make up bulk type-2 fields of classical closed string field theory on AdS at finite temperature in the real time formalism.
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