| 000 | 03745nam a22005415i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-54446-0 | ||
| 003 | DE-He213 | ||
| 005 | 20251030112013.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240426s2024 sz | s |||| 0|eng d | ||
| 020 |
_a9783031544460 _9978-3-031-54446-0 |
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| 024 | 7 |
_a10.1007/978-3-031-54446-0 _2doi |
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| 050 | 4 | _aQC793-793.5 | |
| 050 | 4 | _aQC174.45-174.52 | |
| 072 | 7 |
_aPHP _2bicssc |
|
| 072 | 7 |
_aSCI057000 _2bisacsh |
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| 072 | 7 |
_aPHP _2thema |
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| 100 | 1 |
_aBalduf, Paul-Hermann. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut _975817 |
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| 245 | 1 | 0 |
_aDyson–Schwinger Equations, Renormalization Conditions, and the Hopf Algebra of Perturbative Quantum Field Theory _h[electronic resource] / _cby Paul-Hermann Balduf. |
| 250 | _a1st ed. 2024. | ||
| 264 | 1 |
_aCham : _bSpringer Nature Switzerland : _bImprint: Springer, _c2024. |
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| 300 |
_aXVI, 363 p. 32 illus., 9 illus. in color. _bonline resource. |
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| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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| 347 |
_atext file _bPDF _2rda |
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| 490 | 1 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 |
|
| 505 | 0 | _aIntroduction to perturbative quantum field theory -- Hopf algebra theory of renormalization -- Renormalized Green functions in kinematic renormalization -- Renormalization group and Dyson-Schwinger equations in non-kinematic renormalization -- Field diffeomorphisms and symmetries -- Conclusion and outlook. | |
| 520 | _aThis book offers a systematic introduction to the Hopf algebra theory of renormalization in quantum field theory. Special emphasis is put on physical motivation for mathematical constructions, the role of Dyson–Schwinger equations (DSEs), renormalization conditions, and the renormalization group. The bulk of the book deals with the similarities and differences between two popular renormalization conditions, kinematic renormalization (MOM) and Minimal Subtraction (MS). MOM is a physical global boundary condition for Green functions. DSEs can then be solved in terms of power series which only involve finite renormalized quantities. Conversely, MS is defined order-by-order based on divergences of the unrenormalized Green function. We show that MS is equivalent to MOM with coupling-dependent renormalization point. We determine the large-order growth of series coefficients in different renormalization schemes and derive a novel analytic formula for the all-order solution of linear DSEs in MS. Finally, we derive the changes in off-shell Green functions and counterterms under nonlinear redefinition of field variables for self-interacting scalar fields. The book is aimed at mathematically oriented physicists and physically interested mathematicians who seek a systematic overview of the Hopf algebra theory of renormalization and DSEs. . | ||
| 650 | 0 |
_aElementary particles (Physics). _968885 |
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| 650 | 0 |
_aQuantum field theory. _968886 |
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| 650 | 0 | _aMathematical physics. | |
| 650 | 1 | 4 |
_aElementary Particles, Quantum Field Theory. _968887 |
| 650 | 2 | 4 | _aMathematical Physics. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer Nature eBook | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031544453 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031544477 |
| 776 | 0 | 8 |
_iPrinted edition: _z9783031544484 |
| 830 | 0 |
_aSpringer Theses, Recognizing Outstanding Ph.D. Research, _x2190-5061 _966370 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-031-54446-0 |
| 912 | _aZDB-2-PHA | ||
| 912 | _aZDB-2-SXP | ||
| 999 |
_c59410 _d59410 |
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