<i>Quantum Fields in Curved Space</i>

Birrell, N. D.; Davies, Paul; Wald, Robert M.

doi:10.1063/1.2915453

Cited by 183 publications

(358 citation statements)

References 6 publications

Supporting

Mentioning

355

Contrasting

Unclassified

Order By: Relevance

“…I would like to study this relation, for instance, by taking a large N, k limit with keeping a ratio N/k finite. 26 Other interesting theories are the plane wave matrix model [41] and (2+1) dimensional super Yang-Mills theory on R × S 2 , which are obtained by truncating the N = 4 YangMills theory on R × S 3 like our orbifold theory. These models share the same symmetry SU(2|4) at zero temperature, and the gravity dual of these models was studied in [6].…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…In order to compute Casimir energy, we have to sum over infinitely many states, and this may lead to a divergent result. Thus we have to choose a regularization, but it is a subtle problem for quantum field theory on a curve background [26]. Fortunately, we will find that the Casimir energies in our case are finite, thus we do not need to worry about this difficult issue.…”

Section: Casimir Energiesmentioning

confidence: 93%

“…In our case the divergent terms may be absorbed by the counter terms aµ 4 √ g and bµ 2 √ gR. See [26] for more detailed discussions.…”

Section: Casimir Energiesmentioning

confidence: 99%

“…This 15 For k = 2 the cases with the periodic and anti-periodic boundary conditions lead to the identical result. 16 The Casimir energy in this case was already computed in [10,11] by following the general method of [26].…”

Section: Just Above the Critical Temperaturesmentioning

confidence: 99%

See 3 more Smart Citations

Phase transitions of largeNorbifold gauge theories

Hikida¹

2006

J. High Energy Phys.

View full text Add to dashboard Cite

We study the phase structures of N = 4 U (N ) super Yang-Mills theories on R × S 3 /Z k with large N . The theory has many vacua labelled by the holonomy matrix along the non-trivial cycle on S 3 /Z k , and for the fermions the periodic and the anti-periodic boundary conditions can be assigned along the cycle. We compute the partition functions of the orbifold theories and observe that phase transitions occur even in the zero 't Hooft coupling limit. With the periodic boundary condition, the vacua of the gauge theory are dual to various arrangements of k NS5-branes. With the anti-periodic boundary condition, transitions between the vacua are dual to localized tachyon condensations. In particular, the mass of a deformed geometry is compared with the Casimir energy for the dual vacuum. We also obtain an index for the supersymmetric orbifold theory. *

show abstract

Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Casimir Energiesmentioning

confidence: 93%

“…In our case the divergent terms may be absorbed by the counter terms aµ 4 √ g and bµ 2 √ gR. See [26] for more detailed discussions.…”

Section: Casimir Energiesmentioning

confidence: 99%

Section: Just Above the Critical Temperaturesmentioning

confidence: 99%

See 2 more Smart Citations

Phase transitions of largeNorbifold gauge theories

Hikida¹

2006

J. High Energy Phys.

View full text Add to dashboard Cite

show abstract

“…It has been applied in the study of black holes and large scales structures in the universe as well as in the study of the Casimir effect, e.g. However, transferring our existing formulations of quantum theory to curved spaces is not straightforward and any approach will be hampered with a number of issues (1). Nanostructures provide an experimental arena which potentially can provide direct evidence for the interplay between geometry and quantum theory.…”

Section: Introductionmentioning

confidence: 99%