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| Авторизация |
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| Avramidi I.G. — Heat Kernel and Quantum Gravity |
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| Предметный указатель |
In-region 10
In-vacuum 10
Infinitesimal diffeomorphism 84
Infinitesimal imaginary part of mass 15
Infinitesimal renormalization 18
Infrared divergences 68
Infrared divergences of effective action 67
Infrared divergences of Green function 60
Initial condition 22 31 32
Instability of flat space 107
Instability of ground state 117
Jacobi identity 77
Jacobian 119 120 122
Jacobian functional 81 112 113 115
Killing equations 81 84
Laplace operator 111 116 117
Laplace operator, constrained 111
Levi — Civita tensor 85
Lie algebra 77
Light-cone 3
Light-cone singularities of Green function 15 17
Loop diagram 12
Loop expansion 2 12
Low-energy asymptotics 68
Low-energy asymptotics of higher-derivative quantum gravity 107
Many-point Green functions 11 18
Many-point Green functions off-shell 18 79
Mass of quantum field 46
Mass shell 4 12 18 77 79 94 98 101 108 109 111 114 120 122
Matrix algorithm for De Witt coefficients 36
Matrix elements of differential operator 24 25 35 36 38 56
Matter fields 1 4 5 7 104
Matter fields, background 2
Matter loop 2
mean field 10
Method of covaxiant expansions 5 34
Metric of configuration space 9 12 13 81 82 84 99 115
Metric of space-time 14 37 84 108
Metric theory of gravity 83
Metric, gauge-invariant 81
Metric, pseudo — Riemannian 84
Multiplicativity of functional determinant 13
Multiplicity of eigenvalues 116
Negative modes 116 121 122
Non-renormalizability 108
Non-renormalizability of Einstein quantum gravity 4
Normalization of effective action 64 67
Normalization of formfactors 58 60 64 67
Nother identity 77 85 94
Number of modes 117 118
Off-shell renormalizability of higher-derivative quantum gravity 101
One-loop approximation 2—4 81 83 109 112 114 123
One-loop counter-terms in higher-derivative quantum gravity 4 5
One-loop divergences 37 85
One-loop divergences of higher-derivative quantum gravity 6
Orbit 77 78 82
Orbit space 77 78 80 82 84
Orthonormality of eigenfunctions 24
Out-region 10
Out-vacuum 10
Parallel displacement operator 15 21 22 24 26
Parallel transport equation 22
Parameters of gauge transformation 84
Parametrization of quantum field 2 12 79 80 84 98 101 105 109
Partial summation 51 55 65 76
Partial summation of asymptotic series 17
Partial summation of Schwinger — De Witt expansion 6 65
Particle creation 2 17
path integral 10
Perturbation theory 1 2 4 12 17 51 77 81 83 85 99 107 122
Phase transition in conformal sector 107
Planck constant 12 17
Planck energy 2
Planck mass 122
Point transformations 13
Potential term 14 68 69
Propagator 2 11 96 97
Propagator, bare 13
Propagator, exact 1
Propagator, Feynman 15
Propagator, free 100
Propagator, gravitational 107
Propagator, one-point 10—12
Proper time 3 17
Proper time method 3 5 14 51
Pseudo — Euclidean region 6 59 65
Quadratic part of action 115
Quantization of gauge theories 6
Quantization, canonical 10 78
Quantum corrections 1 12 80
Quantum corrections on De Sitter space 121
Quantum corrections to background curvature 7
Quantum effects 1—3
Quantum effects, gravitational 123
Quantum field 2 46 48 79 80 101 109
Quantum field theory 12
Quantum field theory, non — Abelian gauge 1
Quantum field theory, renormalizable 17
Quantum field theory, unified 1
Quantum field, conformal 110 114
Quantum field, conformally invariant 68
Quantum field, gauge 77
Quantum field, low-spin 7 104 105
Quantum field, massive 4 6 37 46
Quantum field, massive scalar 116
Quantum field, massive tensor 116
Quantum field, massless 3 6 17 19 49 59 60 65 67 104
Quantum field, massless tensor 116
Quantum field, matter 2 105
Quantum field, physical 99 116
Quantum field, scalar 46
Quantum field, spinor 46 105
Quantum field, tensor 114
Quantum field, transverse traceless tensor 110
| Quantum field, vector 46
Quantum field, vector ghost 114
Quantum gravity 1 4 5 108
Quantum gravity, Einstein 2 3
Quantum gravity, one-loop 2 4
Quantum gravity, one-loop Einstein 4
Quantum gravity, two-loop Einstein 4
Radiative corrections 4
Radius of convergence 52 53
Recurrence relations for De Witt coefficients 16 34
Regularization 5 15 17 18 51
Regularization, analytical 3 19
Regularization, C-function 3 19
Regularization, covariant 3
Regularization, cut-off 19
Regularization, dimensional 3 19 20 66 91
Regularization, Pauli — Villars 19
Regularizing function 19
Regularizing parameter 18 19
Renormalization 5 15 17 18 51
Renormalization group 5 18 101
Renormalization group equations 6 101 104 105
Renormalization parameter 18 19 60 67 101 119
Renormalization point 18
Renormalization, finite 20
Renormalization, non-minimal 19
Reparametrization invariance 80 82
Reparametrization of orbit space 80
Reparametrization of quantum field 12
Representation of gauge group, adjoint 80
Representation of Lie algebra 78
Scalar product 9 23
Scaling of functional determinant 117
Scatering matrix (or S'-matrix) 1 4 12 18 79 80 82 85 108
Schwinger average 10
Schwinger — De Witt expansion 53 59 65 76
Schwinger — De Witt expansion in De Sitter space 70
Schwinger — De Witt representation 19
Schwinger — De Witt representation of Green function 47 51 73
Schwinger — De Witt technique 3 6 91
Second variation of action 2 13 85 99 111
Semi-classical approximation 2 6 17 51
Small distance behavior of Green function 17
Source 11
Source classical 10
Space-time 1 10 14 37 55 84 96 108 109
Space-time foam 107
Space-time pseudo — Euclidean 84
Space-time singularities 1
Space-time topologically non-trivial 107
Spectrum of Laplace operator 111
Spectrum of perturbation theory 107
Spin of quantum field 46
Spontaneous creation of De Sitter space 123
Stability of De Sitter space 111
Stability of flat space 102 108
Structure constants of gauge group 77
Summation of asymptotic series 17 73
Summation of leading derivatives 3
Summation of radiative corrections 4
Summation-integration 10
Superdeterminant 13
Supergravity 4
Supergravity, conformal 5
Supersymmetry conditions 9
Symbolic computation 6
Symbolic computation of De Witt coefficients 4
Symmetric space 68
Symmetry breaking 2
Tachyon 5 107
Tangent space 14 53
Tangent vector 21
Tensor sector of higher-derivative quantum gravity 5 7
Threshold 6
Topological term 85
Transfer equation 16
Transfer function 15 17 34 51 58 62 68—70 72—74
Transfer function in De Sitter space 73 74
Transfer function in first order in background fields 57
tree diagrams 11 12
Two-point functions 15 80
Ultraviolet divergences 3—6 13 17—19 51 93 96
Ultraviolet divergences  108
Ultraviolet divergences conformal 5
Ultraviolet divergences of coincidence limit of Green function 100
Ultraviolet divergences of determinant of differential operator 91 100
Ultraviolet divergences of effective action 85 93—96 98 100 101 104 120
Ultraviolet divergences of Green function 60 97
Ultraviolet divergences of higher-derivative quantum gravity 5
Ultraviolet divergences of “Vilkovisky’s” effective action 6
Ultraviolet divergences, off-shell 6
Ultraviolet divergences, two-loop 3
Unitarity 4 107
VACUUM 10
Vacuum expectation values 15
Vacuum polarization 2 3 17 37 48
Vacuum, physical 2
Vacuum-vacuum amplitude 10
Van Fleck — Morette determinant 15 25 29 32
Variation of gauge 94 95
Vertex functions 11 12
Vertex functions of perturbation theory 2
Vertex functions, exact 1
Volume element 20
Volume element of configuration space 13
Ward identities 94 99
Wave equation 3 51
Weyl curvature tensor 85
World function 21 24 25
Zero eigenvalue 24 34
zero modes 116 119 120 122
Zero modes, conformal 111
Zero-charge 5 102 103 105 107
Zeta-function 7 116—119
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