scholarly journals Large N Vector Quantum Mechanics and Bubbling Supertube Solutions

2006 ◽  
Vol 115 (4) ◽  
pp. 797-813 ◽  
Author(s):  
Y. Imamura
Keyword(s):  
Quantum Mechanics ◽  
Large N ◽  
N Vector

scholarly journals On rolling, tunneling and decaying in some large N vector models

2009 ◽  
Vol 2009 (08) ◽  
pp. 001-001 ◽  
Author(s):  
Vadim Asnin ◽  
Eliezer Rabinovici ◽  
Michael Smolkin
Keyword(s):  
Large N ◽  
N Vector

scholarly journals Dualities in 3D large N vector models

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Nouman Muteeb ◽  
Leopoldo A. Pando Zayas ◽  
Fernando Quevedo
Keyword(s):  
Large N ◽  
N Vector

scholarly journals POLYMER STATISTICS AND FERMIONIC VECTOR MODELS

1996 ◽  
Vol 11 (14) ◽  
pp. 1185-1197 ◽  
Author(s):  
GORDON W. SEMENOFF ◽  
RICHARD J. SZABO
Keyword(s):  
Scaling Limit ◽  
Universality Class ◽  
Random Polymer ◽  
Large N ◽  
Polymer Models ◽  
Polymer Statistics ◽  
Polymer Configurations ◽  
Genus Expansion ◽  
N Vector ◽  
Double Scaling Limit

We consider a variation of O(N)-symmetric vector models in which the vector components are Grassmann numbers. We show that these theories generate the same sort of random polymer models as the O(N) vector models and that they lie in the same universality class in the large-N limit. We explicitly construct the double-scaling limit of the theory and show that the genus expansion is an alternating Borel summable series that otherwise coincides with the topological expansion of the bosonic models. We also show how the fermionic nature of these models leads to an explicit solution even at finite-N for the generating functions of the number of random polymer configurations.

scholarly journals BLACK HOLE THERMODYNAMICS FROM CALCULATIONS IN STRONGLY COUPLED GAUGE THEORY

2001 ◽  
Vol 16 (05) ◽  
pp. 856-865 ◽  
Author(s):  
DANIEL KABAT ◽  
GILAD LIFSCHYTZ ◽  
DAVID LOWE
Keyword(s):  
Black Hole ◽  
Quantum Mechanics ◽  
Gauge Theory ◽  
Density Matrix ◽  
Finite Temperature ◽  
Approximation Scheme ◽  
Black Hole Thermodynamics ◽  
Extremal Black Hole ◽  
Strongly Coupled ◽  
Large N

We develop an approximation scheme for the quantum mechanics of N D0-branes at finite temperature in the 't Hooft large-N limit. The entropy of the quantum mechanics calculated using this approximation agrees well with the Bekenstein-Hawking entropy of a ten-dimensional non-extremal black hole with 0-brane charge. This result is in accord with the duality conjectured by Itzhaki, Maldacena, Sonnenschein and Yankielowicz. Our approximation scheme provides a model for the density matrix which describes a black hole in the strongly-coupled quantum mechanics.

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