Duality of boundary value problems and braneworld action in curved brane models

被引:6
作者
Barvinsky, AO [1 ]
Nesterov, DV [1 ]
机构
[1] PN Lebedev Phys Inst, Theory Dept, Moscow 119991, Russia
基金
俄罗斯基础研究基金会;
关键词
braneworld models; effective action; Dirichlet and Neumann boundary value problems;
D O I
10.1016/S0550-3213(03)00082-8
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Braneworld effective action is constructed by two different methods based respectively on the Dirichlet and Neumann boundary value problems. The equivalence of these methods is shown due to non-trivial duality relations between special boundary operators of these two problems. Previously known braneworld action algorithms in two-brane Randall-Sundrum model are generalized two-dimensional curved branes with de Sitter and anti-de Sitter geometries. Implications of the obtained algorithms in braneworld scenarios and in the cosmological constant and cosmological acceleration problems are briefly discussed. (C) 2003 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:225 / 247
页数:23
相关论文
共 57 条
[1]  
Abramowitz M., 1970, HDB MATH FUNCTIONS
[2]   A POSSIBLE NEW DIMENSION AT A FEW TEV [J].
ANTONIADIS, I .
PHYSICS LETTERS B, 1990, 246 (3-4) :377-384
[3]   The hierarchy problem and new dimensions at a millimeter [J].
Arkani-Hamed, N ;
Dimopoulos, S ;
Dvali, G .
PHYSICS LETTERS B, 1998, 429 (3-4) :263-272
[4]  
ARKANIHAMED N, HEPTH0012148
[5]   Bulk versus boundary dynamics in anti-de Sitter spacetime [J].
Balasubramanian, V ;
Kraus, P ;
Lawrence, A .
PHYSICAL REVIEW D, 1999, 59 (04)
[6]   REDUCTION METHODS FOR FUNCTIONAL DETERMINANTS IN QUANTUM-GRAVITY AND COSMOLOGY [J].
BARVINSKY, AO .
PHYSICAL REVIEW D, 1994, 50 (08) :5115-5124
[7]   Braneworld effective action and origin of inflation [J].
Barvinsky, AO .
PHYSICAL REVIEW D, 2002, 65 (06)
[8]   Effective equations in quantum cosmology [J].
Barvinsky, AO ;
Nesterov, DV .
NUCLEAR PHYSICS B, 2001, 608 (1-2) :333-374
[9]  
BARVINSKY AO, IN PRESS PHYS REV D
[10]  
BARVINSKY AO, 2002, P 3 INT SAKH C PHYS