{"product_id":"modern-functional-quantum-field-theory-summing-feynman-graphs","title":"Modern Functional Quantum Field Theory: Summing Feynman Graphs","description":"\u003cp\u003eIn this review of Modern Functional Quantum Field Theory: Summing Feynman Graphs the bottom line is clear: this is a focused, analytic treatment designed for theorists who want a direct, non-perturbative route to aspects of quantum field theory. The book stands out for using a frequently overlooked functional representation of Fradkin to calculate explicit portions of the Schwinger Generating Functional, and its single biggest reason to buy is that it offers a concrete, calculational path to summing classes of Feynman graphs that illustrate cancellation of ultraviolet logarithmic divergences and a tangible statement of charge renormalization.\u003c\/p\u003e\u003ch2\u003eKey Features\u003c\/h2\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eFunctional approach:\u003c\/strong\u003e Presents a simple, analytic functional method based on Fradkin's representation that makes explicit calculations of parts of the Schwinger Generating Functional accessible.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eNon-perturbative focus:\u003c\/strong\u003e Emphasizes a non-perturbative viewpoint that allows readers to see cancellations of infinite perturbative UV logarithmic divergences rather than relying only on series expansions.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eQED application:\u003c\/strong\u003e Shows how summing all Feynman graphs for virtual photon exchange yields an approximate, physically reasonable statement of finite charge renormalization.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eQCD treatment:\u003c\/strong\u003e Extends the method to QCD with a rearrangement of the Schwinger Generating Functional that displays manifest gauge invariance and supports an analytic derivation of quark-binding potential elements.\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eAnalytic calculations:\u003c\/strong\u003e Focuses on explicit, analytic steps rather than purely formal arguments, making the derivations traceable for a trained reader.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eWho It's For\u003c\/h2\u003e\u003cp\u003eThis book is for graduate students, researchers, and advanced practitioners in theoretical physics who are comfortable with quantum field theory and looking for an alternative, functional framework to study non-perturbative effects. It is particularly useful for those studying charge renormalization in QED or analytic approaches to quark binding in QCD.\u003c\/p\u003e\u003cp\u003eReaders who need a broad, introductory overview of quantum field theory or a textbook with extensive problem sets and pedagogical exercises should look elsewhere; this work is concentrated on a specific analytic technique and assumes familiarity with the Schwinger Generating Functional and functional representations.\u003c\/p\u003e\u003ch2\u003ePros \u0026amp; Cons\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003ePros\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eProvides a clear, functional method that makes explicit portions of the Schwinger Generating Functional calculable.\u003c\/li\u003e\n\u003cli\u003eDemonstrates analytic cancellation of UV logarithmic divergences, offering insight into finite charge renormalization.\u003c\/li\u003e\n\u003cli\u003eApplies the same framework to QCD with a rearrangement that emphasizes manifest gauge invariance and supports quark-binding analysis.\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003cstrong\u003eCons\u003c\/strong\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eNot a general QFT primer; it assumes prior technical background and focuses on a specific functional technique.\u003c\/li\u003e\n\u003cli\u003eThe treatment is concise and may omit extensive worked problems or pedagogical scaffolding for less experienced readers.\u003c\/li\u003e\n\u003c\/ul\u003e\u003ch2\u003eSpecifications\u003c\/h2\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003eTitle\u003c\/td\u003e\n\u003ctd\u003eModern Functional Quantum Field Theory: Summing Feynman Graphs\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eAuthor \/ Brand\u003c\/td\u003e\n\u003ctd\u003eHerbert Martin Fried\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eMain approach\u003c\/td\u003e\n\u003ctd\u003eFradkin functional representation of the Schwinger Generating Functional\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eApplications shown\u003c\/td\u003e\n\u003ctd\u003eQED virtual photon exchange, QCD quark-binding derivation\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eKey result\u003c\/td\u003e\n\u003ctd\u003eAnalytic cancellation of perturbative UV logarithmic divergences and finite charge renormalization\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFocus\u003c\/td\u003e\n\u003ctd\u003eNon-perturbative, analytic calculation of summed Feynman graphs\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\u003ch2\u003eOur Verdict\u003c\/h2\u003e\u003cp\u003eModern Functional Quantum Field Theory is a targeted, high-value resource for readers seeking an analytic, functional route to non-perturbative QFT problems. It is best for advanced students and researchers who want explicit calculations of portions of the Schwinger Generating Functional and clear demonstrations of divergence cancellation; those seeking broader introductory material should choose a different text.\u003c\/p\u003e\u003ch2\u003eFrequently Asked Questions\u003c\/h2\u003e\u003cp\u003e\u003cstrong\u003eDoes this book cover standard perturbation theory?\u003c\/strong\u003e\u003cbr\u003eIt addresses perturbative aspects only as they relate to the functional summation of Feynman graphs, with emphasis on non-perturbative cancellations rather than standard textbook perturbation expansions.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eIs prior QFT background required?\u003c\/strong\u003e\u003cbr\u003eYes, familiarity with the Schwinger Generating Functional and standard QFT formalism is expected for full benefit.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eDoes it include QCD applications?\u003c\/strong\u003e\u003cbr\u003eYes, the book extends the functional method to QCD with a rearrangement that highlights manifest gauge invariance and aids analytic derivations related to quark binding.\u003c\/p\u003e","brand":"Herbert Martin Fried","offers":[{"title":"Default Title","offer_id":48671988154587,"sku":"B011FPUDAA","price":98.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0724\/1043\/1707\/files\/41LyiZkqYvL.jpg?v=1778707470","url":"https:\/\/gearmusthave.com\/products\/modern-functional-quantum-field-theory-summing-feynman-graphs","provider":"GearMustHave","version":"1.0","type":"link"}