# Applied Asymptotic Expansions in Momenta and Masses (Springer Tracts in Modern Physics)

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'The sturgeon they sent was second grade fresh,' said the barman. 'Really, what nonsense/' 'Why nonsense?' '"Second grade fresh" that's what I call nonsense/ There's only one degree of freshness the first, and it's the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, this problem is connected with practical calcula tions. In a situation where a given Feynman integral depends on parameters of very different scales, a natural idea is to replace it by a sufficiently large number of terms of an expansion of it in ratios of small and large scales. It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. It turns out that knowledge of the structure of the asymptotic expansion at the diagrammatic level is a key point in understanding how to perform expansions at the operator level. There are various examples of these ex pansions: the operator product expansion, the large mass expansion, Heavy Quark Effective Theory, Non Relativistic QCD, etc. Each of them serves as a realization of the factorization of contributions of different scales.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

From the Back Cover :

The book presents asymptotic expansions of Feynman integrals in various limits of momenta and masses, and their applications to problems of physical interest. The problem of expansion is systematically solved by formulating universal prescriptions that express terms of the expansion using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. Knowledge of the structure of the asymptotic expansion at the diagrammatic level is key in understanding how to perform expansions at the operator level. Most typical examples of these expansions are presented: the operator product expansion, the large-mass expansion, Heavy Quark Effective Theory, and Non-Relativistic QCD.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

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## 1.Applied Asymptotic Expansions in Momenta and Masses

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ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer, 2016. Paperback. État : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du libraire ria9783540423348_lsuk

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## 2.Applied Asymptotic Expansions in Momenta and Masses

Edité par Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2001. HRD. État : New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. N° de réf. du libraire IP-9783540423348

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## 3.Applied Asymptotic Expansions in Momenta and Masses

Edité par Springer (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer, 2001. Hardback. État : NEW. 9783540423348 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0334871

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## 4.Applied Asymptotic Expansions in Momenta and Masses

Edité par Springer-Verlag Berlin and Heidelberg GmbH and Co. KG (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, 2001. HRD. État : New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IP-9783540423348

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## 5.Applied Asymptotic Expansions in Momenta and Masses (Springer Tracts in Modern Physics)

Edité par Springer (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer, 2001. Hardcover. État : New. 2002. This item is printed on demand. N° de réf. du libraire DADAX3540423346

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## 6.Applied Asymptotic Expansions in Momenta and Masses (Springer Tracts in Modern Physics)

Edité par Springer (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer, 2001. État : New. This item is printed on demand for shipment within 3 working days. N° de réf. du libraire LP9783540423348

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## 7.Applied Asymptotic Expansions in Momenta and Masses (Springer Tracts in Modern Physics)

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Description du livre Springer. Hardcover. État : New. 3540423346 Special order direct from the distributor. N° de réf. du libraire ING9783540423348

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## 8.Applied Asymptotic Expansions in Momenta and Masses (Springer Tracts in Modern Physics)

Edité par Springer (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer, 2001. Hardcover. État : New. book. N° de réf. du libraire M3540423346

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## 9.Applied Asymptotic Expansions in Momenta and Masses Springer Tracts in Modern Physics

Edité par Springer
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer. Hardcover. État : New. Hardcover. 265 pages. Dimensions: 9.3in. x 6.4in. x 0.8in.The sturgeon they sent was second grade fresh, said the barman. Really, what nonsense Why nonsense Second grade fresh thats what I call nonsense Theres only one degree of freshness the first, and its the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, this problem is connected with practical calcula tions. In a situation where a given Feynman integral depends on parameters of very different scales, a natural idea is to replace it by a sufficiently large number of terms of an expansion of it in ratios of small and large scales. It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. It turns out that knowledge of the structure of the asymptotic expansion at the diagrammatic level is a key point in understanding how to perform expansions at the operator level. There are various examples of these ex pansions: the operator product expansion, the large mass expansion, Heavy Quark Effective Theory, Non Relativistic QCD, etc. Each of them serves as a realization of the factorization of contributions of different scales. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. N° de réf. du libraire 9783540423348

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## 10.Applied Asymptotic Expansions in Momenta and Masses (Hardback)

Edité par Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany (2001)
ISBN 10 : 3540423346 ISBN 13 : 9783540423348
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Description du livre Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, 2001. Hardback. État : New. 2002 ed.. Language: English . Brand New Book ***** Print on Demand *****. The sturgeon they sent was second grade fresh, said the barman. Really, what nonsense/ Why nonsense? Second grade fresh that s what I call nonsense/ There s only one degree of freshness the first, and it s the last) (M. A. Bulgakov, The Master and Margarita) The goal of this book is to describe in detail how Feynman integrals can be expanded in suitable parameters, when various momenta or masses are small or large. In a narrow sense, this problem is connected with practical calcula tions. In a situation where a given Feynman integral depends on parameters of very different scales, a natural idea is to replace it by a sufficiently large number of terms of an expansion of it in ratios of small and large scales. It will be explained how this problem of expansion can be systematically solved, by formulating universal prescriptions that express terms of the expansion by using the original Feynman integral with its integrand expanded into a Taylor series in appropriate momenta and masses. It turns out that knowledge of the structure of the asymptotic expansion at the diagrammatic level is a key point in understanding how to perform expansions at the operator level. There are various examples of these ex pansions: the operator product expansion, the large mass expansion, Heavy Quark Effective Theory, Non Relativistic QCD, etc. Each of them serves as a realization of the factorization of contributions of different scales. N° de réf. du libraire APC9783540423348

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