Generalized Feynman Amplitudes. (AM-62), Volume 62 / / Eugene R. Speer.
This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplit...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2016] ©1969 |
Year of Publication: | 2016 |
Language: | English |
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Speer, Eugene R., author. aut http://id.loc.gov/vocabulary/relators/aut Generalized Feynman Amplitudes. (AM-62), Volume 62 / Eugene R. Speer. Princeton, NJ : Princeton University Press, [2016] ©1969 1 online resource (312 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 62 Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star This book contains a valuable discussion of renormalization through the addition of counterterms to the Lagrangian, giving the first complete proof of the cancellation of all divergences in an arbitrary interaction. The author also introduces a new method of renormalizing an arbitrary Feynman amplitude, a method that is simpler than previous approaches and can be used to study the renormalized perturbation series in quantum field theory. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Mathematical physics. Quantum field theory. MATHEMATICS / Calculus. bisacsh Addition. Adjoint. Amplitude. Analytic continuation. Analytic function. Antiparticle. C-number. Calculation. Change of variables. Classical electromagnetism. Coefficient. Commutative property. Compact space. Complex analysis. Complex number. Connectivity (graph theory). Constant term. Convolution. Derivative. Diagram (category theory). Differentiable function. Distribution (mathematics). Equation. Estimation. Explicit formulae (L-function). Fermion. Fock space. Formal power series. Fourier transform. Free field. Gauge theory. Graph theory. Hilbert space. Incidence matrix. Interaction picture. Invertible matrix. Irreducibility (mathematics). Isolated singularity. Lagrangian (field theory). Laurent series. Mathematical induction. Mathematics. Momentum. Monomial. Multiple integral. National Science Foundation. Notation. Parameter. Path integral formulation. Permutation. Polynomial. Power series. Probability. Propagator. Quadratic form. Quantity. Remainder. Renormalization. Requirement. S-matrix. Scattering amplitude. Scientific notation. Second quantization. Several complex variables. Simple extension. Special case. Subset. Subtraction. Suggestion. Summation. Taylor series. Tensor product. Theorem. Theory. Topological space. Translational symmetry. Tree (data structure). Uniform convergence. Vacuum expectation value. Vacuum state. Vacuum. Variable (mathematics). Vector field. Vector potential. Wick's theorem. Z0. Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691080666 https://doi.org/10.1515/9781400881864 https://www.degruyter.com/isbn/9781400881864 Cover https://www.degruyter.com/document/cover/isbn/9781400881864/original |
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English |
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author |
Speer, Eugene R., Speer, Eugene R., |
spellingShingle |
Speer, Eugene R., Speer, Eugene R., Generalized Feynman Amplitudes. (AM-62), Volume 62 / Annals of Mathematics Studies ; Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
author_facet |
Speer, Eugene R., Speer, Eugene R., |
author_variant |
e r s er ers e r s er ers |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Speer, Eugene R., |
title |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / |
title_full |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / Eugene R. Speer. |
title_fullStr |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / Eugene R. Speer. |
title_full_unstemmed |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / Eugene R. Speer. |
title_auth |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / |
title_alt |
Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
title_new |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / |
title_sort |
generalized feynman amplitudes. (am-62), volume 62 / |
series |
Annals of Mathematics Studies ; |
series2 |
Annals of Mathematics Studies ; |
publisher |
Princeton University Press, |
publishDate |
2016 |
physical |
1 online resource (312 p.) Issued also in print. |
contents |
Frontmatter -- Acknowledgements -- Abstract -- tables of contents -- Introductions -- CHAPTER I. Renormalization in Lagrangian Field Theory -- CHAPTER II. Definition of Generalized Amplitudes -- CHAPTER III. Analytic Renormalization -- CHAPTER IV. Summation of Feynman Amplitudes -- CONCLUSION -- APPENDIX A. Graphs -- APPENDIX B. Distributions -- APPENDIX C. The Free Field -- BIBLIOGRAPHY |
isbn |
9781400881864 9783110494914 9783110442496 9780691080666 |
callnumber-first |
Q - Science |
callnumber-subject |
QC - Physics |
callnumber-label |
QC20 |
callnumber-sort |
QC 220 |
url |
https://doi.org/10.1515/9781400881864 https://www.degruyter.com/isbn/9781400881864 https://www.degruyter.com/document/cover/isbn/9781400881864/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
530 - Physics |
dewey-full |
530.14/3 |
dewey-sort |
3530.14 13 |
dewey-raw |
530.14/3 |
dewey-search |
530.14/3 |
doi_str_mv |
10.1515/9781400881864 |
oclc_num |
979580914 |
work_keys_str_mv |
AT speereugener generalizedfeynmanamplitudesam62volume62 |
status_str |
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ids_txt_mv |
(DE-B1597)467912 (OCoLC)979580914 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
is_hierarchy_title |
Generalized Feynman Amplitudes. (AM-62), Volume 62 / |
container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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