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Thursday, August 6, 2020 | History

8 edition of **Canonical Wick rotations in 3-dimensional gravity** found in the catalog.

Canonical Wick rotations in 3-dimensional gravity

R. Benedetti

- 213 Want to read
- 38 Currently reading

Published
**2009**
by American Mathematical Society in Providence, R.I
.

Written in English

- Three-manifolds (Topology),
- Global differential geometry,
- Low-dimensional topology

**Edition Notes**

Statement | Riccardo Benedetti, Francesco Bonsante. |

Series | Memoirs of the American Mathematical Society -- no. 926 |

Contributions | Bonsante, Francesco. |

Classifications | |
---|---|

LC Classifications | QA613.2 .B46 2009 |

The Physical Object | |

Pagination | p. cm. |

ID Numbers | |

Open Library | OL22672059M |

ISBN 10 | 9780821842812 |

LC Control Number | 2008047655 |

A rotation in the x–y plane by an angle θ measured counterclockwise from the positive x-axis is represented by the real 2×2 special orthogonal matrix,2 cosθ −sinθ sinθ cosθ. If we consider this rotation as occurring in three-dimensional space, then it can be described as a counterclockwise rotation by an angle θ about the z-axis. In physics, canonical quantum gravity is an attempt to quantize the canonical formulation of general relativity (or canonical gravity).It is a Hamiltonian formulation of Einstein's general theory of relativity. The basic theory was outlined by Bryce DeWitt in a seminal paper, and based on earlier work by Peter G. Bergmann using the so-called canonical quantization techniques for.

Canonical Wick rotations in 3-dimensional gravity - Riccardo Benedetti and Francesco Bonsante: MEMO/ Multi-pulse evolution and space-time chaos in dissipative systems - Sergey Zelik and Alexander Mielke: MEMO/ “Abstract” homomorphisms of split Kac-Moody groups - Pierre-Emmanuel Caprace: Volume Number Title; MEMO/ References In algebraic quantum theory. Comprehensive discussion is in. Urs Schreiber, geometry of physics – perturbative quantum field theory – Observables; In geometric quantization. See also the references at geometric quantization.. Standard facts are recalled for instance around p. 35 of.

Free Downloads Riccardo Benedetti Books. Showing 1 to 21 of 21 results. Lectures on Hyperbolic Geometry. ISBN X Canonical Wick Rotations in 3-dimensional Gravity. ISBN Download Canonical Wick Rotations in 3-dimensional Gravity by Riccardo Benedetti. (with E. Guadagnini) Geometric cone surfaces and (2+1)-gravity coupled to particles Nuclear Physics B (), PDF (with E. Guadagnini) Classical Teichmuller theory and (2+1) gravity Physics Letters, Section B (), PDF (with M. Shiota) On real algebraic links in S3 Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat.

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The authors develop a canonical Wick rotation-rescaling theory in \(3\)-dimensional includes (a) A simultaneous classification: this shows how maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface and canonical cosmological time, as well as complex projective structures on arbitrary surfaces, are all different.

Presents canonical Wick rotation-rescaling theory in 3-dimensional gravity. This book shows how maximal globally hyperbolic space times of arbitrary constant curvature which admit a complete Cauchy surface and canonical cosmological time, are all different materializations of 'more fundamental' encoding structures.

Abstract We develop a canonical Wick rotation-rescaling theory in 3-dimensional gravity. This includes (a) A simultaneous classiﬁcation: this shows how maximal globally hyper- bolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface and canonical cosmological time, as well as complex projective structures on Canonical Wick rotations in 3-dimensional gravity book surfaces, are all diﬀerent.

Canonical Wick Rotations in 3-Dimensional Gravity Article (PDF Available) in Memoirs of the American Mathematical Society () September with 53 Reads How we measure 'reads'. Abstract. We develop a canonical Wick rotation-rescaling theory in 3-dimensional gravity.

This includes (a) A simultaneous classification: this shows how generic maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface, as well as complex projective structures on arbitrary surfaces, are all different materializations of “more fundamental.

Abstract: We develop a ``canonical Wick rotation-rescaling theory in 3-dimensional gravity''. This includes: (a) A simultaneous classification that shows how generic maximal globally hyperbolic spacetimes of constant curvature, which admit a complete Cauchy surface (in particular a compact one), as well as complex projective structures on arbitrary surfaces, are all encoded by pairs.

Abstract. We develop a ``canonical Wick rotation-rescaling theory in 3-dimensional gravity''. This includes: (a) A simultaneous classification that shows how generic maximal globally hyperbolic spacetimes of constant curvature, which admit a complete Cauchy surface (in particular a compact one), as well as complex projective structures on arbitrary surfaces, are all encoded by pairs (H,L), H.

We develop a ``canonical Wick rotation-rescaling theory in 3-dimensional gravity''. This includes: (a) A simultaneous classification that shows how generic maximal globally hyperbolic spacetimes of constant curvature, which admit a complete Cauchy surface (in particular a compact one), as well as complex projective structures on arbitrary surfaces, are all encoded by pairs (H,L), H being a.

Description: The authors develop a canonical Wick rotation-rescaling theory in $3$-dimensional gravity. This includes (a) A simultaneous classification: this shows how maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface and canonical cosmological time, as well as complex projective.

Wick rotations in 3D gravity: ML(H2)-spacetimes. "Ends of hyperbolic 3-manifolds should support canonical Wick Rotations, so they realize effective interactions of their ending globally. Abstract We develop a canonical Wick rotation-rescaling theory in 3-dimensional gravity.

This includes (a) A simultaneous classiﬁcation: this shows how generic maximal globally hyperbolic spacetimes of arbitrary constant curvature, which admit a complete Cauchy surface, as well as complex projective structures on arbitrary surfaces, are all diﬀerent materializations of “more fundamental.

In this form, Wick rotation is also known as thermal quantum field there for more. graphics grabbed form Frolov-Zelnikov Wick rotation also applies on suitable black-hole?-spacetimes spring thermodynamics, such as the Bekenstein-Hawking entropy, find elegant explanations, at least at the level of the manipulation of formulas (see e.g.

Fulling-Ruijsena section 4). PACS: Keywords: Lorentzian; Four-dimensional quantum gravity; Wheeler-DeWitt constraint; Generator of the Wick rotation; Euclidean Hamiltonian Attempts at defining an operator which corresponds to the Hamiltonian constraint of four-dimensional Lorentzian vacuum canonical gravity [ 1 ] have first been made within the framework of the ADM.

The canonical formulation of the new Wick rotation In [3], it is argued that the field χ E † cannot be replaced by ψ E † since the two-point function, (34) E 〈0|ψ E (x)χ E † (y)|0〉 E = ∫ d 4 k (2π) 4 −i k / OS +m k E 2 +m 2 e ik E (x−y) E, is then inconsistent because only the left hand side is invariant under hermitean.

This site uses cookies. By continuing to use this site you agree to our use of cookies. To find out more, see our Privacy and Cookies policy. Ends of hyperbolic 3-manifolds should support canonical Wick Rotations, so they realize effective interactions of their ending globally hyperbolic spacetimes.

3 Canonical Quantization of Scalar Fields (2) 36 4 The Spin-Statistics Theorem (3) 45 5 The LSZ Reduction Formula (3) 49 6 Path Integrals in Quantum Mechanics 57 7 The Path Integral for the Harmonic Oscillator (6) 63 book, the proofs that we do have are only outlined.

those proofs that we. The convex core of quasifuchsian manifolds with particles Lecuire, Cyril and Schlenker, Jean-Marc, Geometry & Topology, ; A cyclic extension of the earthquake flow I Bonsante, Francesco, Mondello, Gabriele, and Schlenker, Jean-Marc, Geometry & Topology, ; Limit points of lines of minima in Thurston's boundary of Teichmüller space Diaz, Raquel and Series, Caroline, Algebraic.

In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic scheme is named after American physicist Richard Feynman, who introduced the diagrams in The interaction of subatomic particles can be complex and difficult to understand; Feynman diagrams give a simple visualization of.

Website created to collect and disseminate knowledge about perturbative quantum field theory and renormalization. motion and central force scattering, and the basic ideas of canonical transformations.

This course brie y reviews the needed concepts, but assumes some familiarity with these ideas. References used for this course include Goldstein, Poole & Safko, Classical Mechanics, 3rd edition. Landau and Lifshitz vol.6, Fluid Mechanics.The path integral formulation is a description in quantum mechanics that generalizes the action principle of classical replaces the classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude.

This formulation has proven crucial to the.In the book Mathematical Aspects of Quantum Field Theory () on page in chapter Wick rotations and axioms for Euclidean QFT the following is stated: We have seen earlier in this quantum-field-theory definition wick-rotation.