Geometrical Aspects of Quantum Fields: Proceedings of the First Workshop State University of Londrina, Brazil Held on 17-22 April 2000

Preface......Page 6
Contents......Page 8
1 Introduction......Page 10
2 Einstein's equations......Page 11
3 Discussion on the solutions of the equations......Page 14
4 Concluding remarks......Page 18
References......Page 19
1 Introduction......Page 20
2 Massive spin 2 field on specific manifolds......Page 22
3 Consistent equations in arbitrary gravitational background......Page 31
4 String theory in background of massive spin 2 field......Page 34
References......Page 38
1 Introduction......Page 40
2 The index theorem and the classical contribution to the partition function......Page 41
3 One-loop contribution and associated invariants......Page 45
4 Concluding remarks......Page 46
References......Page 47
1 Introduction......Page 49
2 The equivariant cohomology space H(M,X,s)......Page 50
3 The localization formula......Page 53
4 The class [eCTX]......Page 55
5 The Duistermaat-Heckman Formula......Page 57
Appendix......Page 60
References......Page 62
The Extremal Limit of D-Dimensional Black Holes......Page 65
References......Page 72
On the Dimensional Reduced Theories......Page 73
Fractal Statistics, Fractal Index and Fractons......Page 82
Quantum Field Theory from First Principles......Page 89
1 Introduction......Page 102
2 Gauged WZNW Construction of NA Toda Models......Page 103
3 The Bn(1) Torsionless NA Toda model......Page 112
4 The twisted NA Toda Models......Page 113
5 Zero Curvature......Page 115
References......Page 118
1 Introduction......Page 120
2 DKP equation in Minkowski space-time......Page 122
3 Passage to Riemannian space-times......Page 126
4 The equivalence with KG and Proca equations......Page 130
5 Conclusions and comments......Page 135
References......Page 136
1 Introduction......Page 137
2 Corrections to Newtonian Gravity in the Theories with a Weak Unification Scale......Page 139
3 What Constraints are Known up to Date?......Page 141
4 Constraints from the Recent Measurement of the Casimir Force Between Gold Coated Lens and Disk......Page 143
5 Conclusions and Discussion......Page 145
References......Page 146
Finite Action, Holographic Conformal Anomaly and Quantum Brane-Worlds in D5 Gauged Supergravity......Page 148
1 Introduction......Page 149
2 Holografic Weyl anomaly for gauged supergravity with general dilaton potential......Page 151
3 Surface Counterterms and Finite Action......Page 156
4 Comparison with other counterterm schemes and holografic RG......Page 162
5 Dilatonic brane-world inflation induced by quantum effects: Constant bulk potential......Page 166
6 Discussion......Page 173
Appendix A Remarks on boundary values......Page 175
References......Page 176
Quantum Group SUQ(2) and Pairing in Nuclei......Page 180
1 Quasi-Spin operators and Seniority Scheme......Page 181
2 Nucleon Pairs with q-deformation......Page 182
3 RPA with q-deformed nucleon pairs and q-deformed Quasi-particle pairs......Page 183
4 Gap equation in qBCS and the Ground State Energy......Page 184
References......Page 188
1 INTRODUCTION......Page 190
2 AXIAL DISCLINATIONS AND THE MICROSCOPIC NATURE OF THE LIQUID CRYSTALS......Page 191
4 THE OUT-OF-PLANE-TILT......Page 193
5 CONCLUSION......Page 196
REFERENCES......Page 197
1 The Theory of Non-linear Realizations......Page 198
2 Bosonic Branes......Page 200
2 The Laplace-Beltrami operator and the Klein-Gordon operator......Page 203
3 Solutions of the radial equation (2.20)......Page 207
Appendix......Page 210
References......Page 212