2 edition of **Scattering theory: unitarity, analyticity and crossing** found in the catalog.

- 221 Want to read
- 11 Currently reading

Published
**1969**
by Springer in Berlin [etc.]
.

Written in English

**Edition Notes**

Met lit. opg.

Statement | André Martin ; notes taken by R. Schrader |

Series | Lecture notes in physics -- vol. 3. |

Contributions | Schrader, R. |

The Physical Object | |
---|---|

Format | [elektronische middelen] / |

Pagination | 1 online resource (125 p. :) |

Number of Pages | 125 |

ID Numbers | |

Open Library | OL27086354M |

ISBN 10 | 3540046410 |

ISBN 10 | 9783540046417 |

OCLC/WorldCa | 475287827 |

We shall go through the arguments of crossing symmetry, unitarity and low-energy theorems on the path to deriving the sum rules. We close with a discussion of the convergence issues: subtractions, renormalization, regularization, followed by the proposal of an approximate sum rule for the proton charge. Causality and analyticity. Scattering Theory: Unitarity, Analyticity and Crossing. Higher Dimensional Space-time and Unitarity Bound on the Scattering Amplitude. Masud Chaichian (Helsinki U.), Jan Fischer Analyticity properties of scattering amplitude in theories with compactified space dimensions.

The properties of the high energy behavior of the scattering amplitude of massive, neutral, and spinless particles in higher dimensional field theories are investigated. The axiomatic formulation of Lehmann, Symanzik, and Zimmermann (LSZ) is adopted. The analyticity properties of the causal, the retarded, and the advanced functions associated with the four point elastic amplitudes are . The book is unique in its coverage: it discusses in detail the basic properties of scattering amplitudes (analyticity, unitarity, crossing symmetry), resonances and electro-magnetic interactions of hadrons, and it introduces and studies reggeons and, in particular, the .

The domain of analyticity of scattering amplitude in s and t variables is extended by imposing unitarity constraints. A generalized version of Martin’s theorem is derived to prove the existence of such a domain in D-dimensional field theories. Martin, Scattering Theory: Unitarity, Analyticity and Crossing (Springer-Verlag, Berlin. analyticity of scattering amplitudes, together with unitarity and crossing symmetry, has been exploited to derive so-called ‘sum rules’ (or ‘dispersion relations’) relating parameters of the low-energy theory to integrals over high-energy cross sections [1{3]. In some cases, unitarity.

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Scattering Theory: Unitarity, Analyticity and Crossing (Lecture Notes in Physics (3)) 1st Edition by Andre Martin (Author), R. Schrader (Editor)Cited by: Over 10 million scientific documents at your fingertips. Switch Edition. Academic Edition; Corporate Analyticity and crossing book Home; Impressum; Legal information; Privacy statement.

Get this from a library. Scattering theory: unitarity, analyticity and crossing. [André Martin, Professeur.]. Scattering Theory: Unitarity, Analyticity and Crossing.

André Martin. pages. Published in: Phys. 3 Connection between the Wigner Inequalities and Analyticity and Unitarity.

Bonnier, Mau. () Axiomatic field theory, Brandeis university summer institute in theoretical by: Cite this chapter as: () Scattering Theory: Unitarity, Analyticity and Crossing.

In: Scattering Theory: Unitarity, Analyticity and Crossing. Not Available adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A.

: Scattering Theory: Unitarity, Analyticity and Crossing, Notes byR Schrader, Springer-Verlag (en) Harald Grosse (de) and A.

Martin, Particle Physics and the Schrödinger Equation, Cambridge University Press, (ISBN X, read analyticity and crossing book [archive]). We consider a massive scalar, neutral, field theory in a five dimensional flat spacetime. Subsequently, one spatial dimension is compactified on a circle, S 1, of radius resulting theory is defined in the manifold, R 3, 1 ⊗ S 1, consists of a states of lowest mass, m 0, and a tower of massive Kaluza-Klein analyticity property of the elastic scattering amplitude is.

Scattering Theory for the d'Alembert Equation in Exterior Domains; Scattering Theory in Mathematical Physics; Scattering Theory of Classical and Quantum N -Particle Systems; Scattering Theory of Waves and Particles; Scattering Theory: Some Old and New Problems; Scattering Theory: Unitarity, Analyticity and Crossing; Scattering and Attenuation.

Exploiting unitarity, analyticity and crossing symme-try of the full (unknown) UV complete theory, we will use the known properties of the scattering amplitude of a scalar theory at and away from the forward limit to show that there are an inﬁnite number of such bounds on the pole subtracted scattering.

We present some recent developments on momentum-space analyticity properties of scattering amplitudes for multiparticle processes in relativistic quantum theory. We describe some results obtained in axiomatic quantum field theory and S-matrix theory, and some useful related mathematical results.

Get this from a library. Scattering theory: unitarity, analyticity and crossing. [André Martin]. Proofs and references concerning the results presented in Section 1 can be found in: Martin, A.: Scattering Theory: Unitarity, Analyticity and e Notes in Physics, Vol.

Berlin-Heidelberg-New York: Springer It also led Chew () to advocate an S-matrix theory of strong interactions, in which the scattering matrix might be more or less determined by general prin- ciples of unitarity, crossing and maximal analyticity (viz.

the hypothesis that the S-matrix has only those singularities that are required by unitarity). Get this from a library.

Scattering Theory: Unitarity, Analyticity and Crossing. [André Martin]. A program for construction of a crossing-symmetric unitary Regge theory of meson-meson scattering is proposed.

The construction proceeds through solution of a nonlinear functional equation, ψ = G(ψ), for certain partial-wave scattering functions ψ. The functional equation is analogous to a conventional dynamical equation, in that the scattering amplitude is generated from input functions.

Nuclear Physics B72 () North-Holland Publishing Company NUMERICAL STRATEGIES IN THE CONSTRUCTION OF AMPLITUDES SATISFYING UNITARITY, ANALYTICITY AND CROSSING SYMMETRY (I) J. BOGUTA Department of Physics, University of Illinois, Chicago, Illinois Received 13 August (Revised 10 December ) Abstract: Numerical strategies.

microscopic theory is unitary, causal and local. These principles are stirred in the fundamental properties of the S-matrix such as unitarity, analyticity, crossing symmetry, and polynomial boundedness.

These imply a UV-IR connection in the form of dispersion relations that. Phase shifts for π–π scattering are obtained from a model satisfying Mandelstam analyticity, exact crossing symmetry, and approximate unitarity in the range 2mπ ≤ s1/2 ≤ GeV.

Scattering Theory by Aleksei G. Sitenko,available at Book Depository with free delivery worldwide. unitarity, analyticity and crossing symmetry of the amplitudes. That emphasizes the general na-ture of the corresponding equations. The derived equations allow one to compute leading infrared logarithms to essentially unlimited loop order without performing a loop calculation.

For the im.Saclay-t16/ Softness and Amplitudes’ Positivity for Spinning Particles Brando Bellazzini Institut de Physique Th eorique, Universit e Paris Saclay, CEA, CNRS, F Gif-sur-Yvette, France.Scattering Theory: Unitarity, Analyticity and Crossing (Lecture Notes in Physics) - Andre Martin Andre Martin, " Scattering Theory: Unitarity, Analyticity and Crossing" Theory of Linear and Integer Programming free ebook download.