LEADER 03453nam 22005775 450 001 9910741146303321 005 20200703074050.0 010 $a3-030-18948-1 024 7 $a10.1007/978-3-030-18948-8 035 $a(CKB)4100000008048055 035 $a(MiAaPQ)EBC5771090 035 $a(DE-He213)978-3-030-18948-8 035 $a(PPN)235669407 035 $a(EXLCZ)994100000008048055 100 $a20190425d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aFunctional Analysis and Optimization Methods in Hadron Physics /$fby Irinel Caprini 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (139 pages) 225 1 $aSpringerBriefs in Physics,$x2191-5423 311 $a3-030-18947-3 320 $aIncludes bibliographical references. 327 $a1 Theory of strong interactions before the Standard Model -- 2 Modern approach to analyticity -- 3 Complex and functional-analysis tools -- 4 Optimization problems with physical conditions -- 5 Other applications of analyticity. 330 $aThis book begins with a brief historical review of the early applications of standard dispersion relations in particle physics. It then presents the modern perspective within the Standard Model, emphasizing the relation of analyticity together with alternative tools applied to strong interactions, such as perturbative and lattice quantum chromodynamics (QCD), as well as chiral perturbation theory. The core of the book argues that, in order to improve the prediction of specific hadronic observables, it is often necessary to resort to methods of complex analysis more sophisticated than the simple Cauchy integral. Accordingly, a separate mathematical chapter is devoted to solving several functional analysis optimization problems. Their applications to physical amplitudes and form factors are discussed in the following chapters, which also demonstrate how to merge the analytic approach with statistical analysis tools. Given its scope, the book offers a valuable guide for researchers working in precision hadronic physics, as well as graduate students who are new to the field. 410 0$aSpringerBriefs in Physics,$x2191-5423 606 $aNuclear physics 606 $aHeavy ions 606 $aPhysics 606 $aMathematical physics 606 $aNuclear Physics, Heavy Ions, Hadrons$3https://scigraph.springernature.com/ontologies/product-market-codes/P23010 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 615 0$aNuclear physics. 615 0$aHeavy ions. 615 0$aPhysics. 615 0$aMathematical physics. 615 14$aNuclear Physics, Heavy Ions, Hadrons. 615 24$aMathematical Methods in Physics. 615 24$aMathematical Applications in the Physical Sciences. 676 $a539.7548 676 $a539.7216 700 $aCaprini$b Irinel$4aut$4http://id.loc.gov/vocabulary/relators/aut$0837221 906 $aBOOK 912 $a9910741146303321 996 $aFunctional Analysis and Optimization Methods in Hadron Physics$91870608 997 $aUNINA