Galileo symmetries in polymer particle representation

被引:17
作者
Chiou, Dah-Wei [1 ]
机构
[1] Univ Calif Berkeley, Dept Phys, Berkeley, CA 94720 USA
[2] Penn State Univ, Dept Phys, Inst Gravitat Phys & Geometry, University Pk, PA 16802 USA
关键词
D O I
10.1088/0264-9381/24/10/007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
To illustrate the conceptual problems for the low-energy symmetries in the continuum of spacetime emerging from the discrete quantum geometry, Galileo symmetries are investigated in the polymer particle representation of a non-relativistic particle as a simple toy model. The complete Galileo transformations ( translation, rotation and Galileo boost) are naturally defined in the polymer particle Hilbert space and Galileo symmetries are recovered with highly suppressed deviations in the low-energy regime from the underlying polymer particle description.
引用
收藏
页码:2603 / 2620
页数:18
相关论文
共 9 条
[1]  
[Anonymous], 2004, QUANTUM MECH FUNDAME
[2]   Quantum gravity, shadow states and quantum mechanics [J].
Ashtekar, A ;
Fairhurst, S ;
Willis, JL .
CLASSICAL AND QUANTUM GRAVITY, 2003, 20 (06) :1031-1061
[3]   Relation between polymer and Fock excitations [J].
Ashtekar, A ;
Lewandowski, J .
CLASSICAL AND QUANTUM GRAVITY, 2001, 18 (18) :L117-L127
[4]   Minkowski vacuum in background independent quantum gravity [J].
Conrady, F ;
Doplicher, L ;
Oeckl, R ;
Rovelli, C ;
Testa, M .
PHYSICAL REVIEW D, 2004, 69 (06) :7
[5]   A proposal for analysing the classical limit of kinematic loop gravity [J].
Varadarajan, M ;
Zapata, JA .
CLASSICAL AND QUANTUM GRAVITY, 2000, 17 (19) :4085-4109
[6]   Gravitons from a loop representation of linearized gravity [J].
Varadarajan, M .
PHYSICAL REVIEW D, 2002, 66 (02)
[7]   Photons from quantized electric flux representations [J].
Varadarajan, M .
PHYSICAL REVIEW D, 2001, 64 (10)
[8]  
Varadarajan M, 2000, PHYS REV D, V61, DOI 10.1103/PhysRevD.61.104001
[9]   Invariance properties of induced Fock measures for U(1) holonomies [J].
Velhinho, JM .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2002, 227 (03) :541-550