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MessagePosté le: Sam 3 Sep - 13:25 (2016)    Sujet du message: Polchinski Renormalization And Effective Lagrangians Pdf Do Répondre en citant




Polchinski Renormalization And Effective Lagrangians Pdf Download > urlin.us/3z931










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Mathematically,....Γ....{displaystyle....Gamma....}....is....the....generating....functional....of....the....one-particle....irreducible....Feynman....diagrams.....Introducing....some....cutoff....Λ....{displaystyle....Lambda....}....the....Polchinskii....equation.....Norsk/Bokml....."Functional..Renormalization..Group..Equations,..Asymptotic..Safety,..and..Quantum..Einstein..Gravity"...Variation...of...Γ...{displaystyle...Gamma...}...yields...exact...quantum...field...equations,...for...example...for...cosmology...or...the...electrodynamics...of...superconductors....∂...Λ...W...Λ...=...−...Δ...D...˙...Λ...+...G...˙...0...,...Λ...W...Λ...+...e...−...Δ...D...Λ...12...Δ...G...˙...0...,...Λ...12...W...Λ...(...1...)...W...Λ...(...2...)...{displaystyle...{partial...{Lambda...}}{{mathcal...{W}}{Lambda...}}=-{Delta...{{{dot...{D}}{Lambda...}}+{{dot...{G}}{0,Lambda...}}}}{{mathcal...{W}}{Lambda...}}+{e^{-Delta...{D{Lambda...}}^{12}}}Delta...{{dot...{G}}{0,Lambda...}}^{12}{mathcal...{W}}{Lambda...}^{(1)}{mathcal...{W}}{Lambda...}^{(2)}}.......The....functional....differential....equation....for....Γ....k....{displaystyle....Gamma....{k}}....must....be....supplemented....with....the....initial....condition....Γ....k....→....Λ....=....S....{displaystyle....Gamma....{kto....Lambda....}=S}....,....where....the...."classical....action"....S....{displaystyle....S}....describes....the....physics....at....the....microscopic....ultraviolet....scale....k....=....Λ....{displaystyle....k=Lambda....}.........Δ...G...˙...0...,...Λ...12...V...Λ...(...1...)...V...Λ...(...2...)...=...1...2...(...δ...V...Λ...(...ψ...)...δ...ψ...,...G...˙...0...,...Λ...δ...V...Λ...(...ψ...)...δ...ψ...)...{displaystyle...Delta...{{dot...{G}}{0,Lambda...}}^{12}{mathcal...{V}}{Lambda...}^{(1)}{mathcal...{V}}{Lambda...}^{(2)}={frac...{1}{2}}left({{frac...{delta...{{V}{Lambda...}}(psi...)}{delta...psi...}},{{dot...{G}}{0,Lambda...}}{frac...{delta...{{V}{Lambda...}}(psi...)}{delta...psi...}}}right)}.......

The...flow...equation...for...the...effective...action[edit]....(1993),..."Exact...evolution...equation...for...the...effective...potential",...Phys....which....generates....n-particle....interaction....vertices,....amputated....by....the....bare....propagators....G....0....{displaystyle....G{0}}....;....Z....[....η....,....η....+....]....{displaystyle....Z[eta....,eta....^{+}]}....is....the...."standard"....generating....functional....for....the....n-particle....Green....functions.....takes...the...form...of...the...Wick-ordered...equation....The..dependence..on..the..RG..sliding..scale..k..{displaystyle..k}..is..introduced..by..adding..a..regulator..(infrared..cutoff)..R..k..{displaystyle..R{k}}..to..the..full..inverse..propagator..Γ..k..(..2..)..{displaystyle..Gamma..{k}^{(2)}}.....∂..∂..Λ..V..Λ..(..ψ..)..=..−..Δ..˙..G..0..,..Λ..V..Λ..(..ψ..)..+..Δ..G..˙..0..,..Λ..12..V..Λ..(..1..)..V..Λ..(..2..)..{displaystyle..{frac..{partial..}{partial..Lambda..}}{{V}{Lambda..}}(psi..)=-{{dot..{Delta..}}{G{0,Lambda..}}}{{V}{Lambda..}}(psi..)+Delta..{{dot..{G}}{0,Lambda..}}^{12}{mathcal..{V}}{Lambda..}^{(1)}{mathcal..{V}}{Lambda..}^{(2)}}.....In...most...cases...of...interest...the...Wetterich...equation...can...only...be...solved...approximately....

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