Quark propagators in confinement and deconfinement phases

We study four dimensional quantum gravity formulated as a certain conformal field theory at the ultraviolet fixed point, whose dynamics is described by the combined system of Riegert-Wess-Zumino and Weyl actions. Background free nature comes out as quantum diffeomorphism symmetry by quantizing the conformal factor of the metric field nonperturbatively. In this paper, Minkowski background M 4 is employed in practice. The generator of quantum diffeomorphism that forms conformal algebra is constructed. Using it, we study the composite scalar operator that becomes a good conformal field. We find that physical fields are described by such scalar fields with conformal dimension 4. Consequently, tensor fields outside the unitarity bound are excluded. Computations of quantum algebra on M 4 are carried out in the coordinate space using operator products of the fields. The nilpotent BRST operator is also constructed.

Section: The Modelsupporting

confidence: 58%

Background-free quantum gravity based on conformal gravity and conformal field theory onM4

Hamada

2012

“…From this situation, in order to define the correlation function among physical fields with correct Riegert charge, we should consider the model with potential terms such as the cosmological constant term and the Ricci scalar curvature. The correlation function obtained in this way has a power-law behavior for the mass scale appearing in the potential term, as required from cosmological observations [22,23,24].…”

Section: Resultsmentioning

confidence: 78%

BRST invariant higher derivative operators in 4D quantum gravity based on CFT

Hamada

2012

We continue the study of physical fields for the background free 4D quantum gravity based on the Riegert-Wess-Zumino action, developed in Phys. Rev. D 85 (2012) 024028 [16]. The background free model is formulated in terms of a certain conformal field theory on M 4 in which conformal symmetry arises as gauge symmetry, namely diffeomorphism invariance. In this paper, we construct the physical field operator corresponding to any integer power of Ricci scalar curvature in the context of the BRST quantization. We also discuss how to define the correlation function and its physical meanings.

“…It indicates that the correlation function has a power-law behavior in the mass scale. Its physical implications to inflationary cosmology are discussed elsewhere [29,30,31].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

BRST analysis of physical fields and states for 4D quantum gravity onR×S3

Hamada¹

2012

We consider the background-free quantum gravity based on conformal gravity with the Riegert-Wess-Zumino action, which is formulated in terms of a conformal field theory. Employing the R×S 3 background in practice, we construct the nilpotent BRST operator imposing diffeomorphism invariance. Physical fields and states are analyzed, which are given only by real primary scalars with a definite conformal weight. With attention to the presence of background charges, various significant properties, such as the state-operator correspondence and the norm structure, are clarified with some examples.