Entropy inequalities and quantum field theory

Entropy inequalities and quantum field theory

Entropy inequalities and quantum field theory

... Entanglement entropy Area law: « » C.Callan, F Wilczek, hep-th/9401072 Entropy inequalities Two states, one region Positivity and monotonicity of relative entropy Entropy bounds Bekenstein ... operator for all quantum field theories Bisognano Wichmann (1975) Unruh (1976): x Relative entropy between two states is positive Conclusion: quantum Bekenstein bound holds It is saved...

Ngày tải lên: 27/09/2017, 09:46

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Quantum field theory   j  norbury

Quantum field theory j norbury

... xi = Oij xj For small angles this is reduced to δx = θy and δy = −θx or δxi = θ where ij is antisymmetric and 12 =− Read Kaku p 36-38 33 ij j x 21 =1 x y 34 CHAPTER SYMMETRIES & GROUP THEORY ... (∂ µ j = 0) Noether current is j ≡ ∂L ∆ηr − Tµν δxν ∂(∂ µ ηr ) with Tµν ≡ ∂L ∂ν ηr − gµν L ∂(∂ µ ηr ) The conserved ( dQ = 0) charge is dt Q≡ d3 x j0 (x) which is just the charge density, j0 ....

Ngày tải lên: 17/03/2014, 14:40

107 461 3
Quantum field theory   r  clarkson, d  mckeon

Quantum field theory r clarkson, d mckeon

... dxµ d d d = −m dxµ dxµ d d d d = d d d (1.4.25) (1.4.26) d dxµ dxµ d d (1.4.27) Thus, (insert κ into (1.4.24)) d µ dxµ = p and equate this with (1.4.26) d d dxµ = pµ d (1.4.28) ... pµ 2m − m pµ m 1.4 DIRAC’S THEORY OF CONSTRAINTS 21 Other gauge choice: τ = x4 = t(breaks Lorentz invariance) Work directly from the action: S = −m dt dt dr dr − d d d d d If we’ve chosen .....

Ngày tải lên: 17/03/2014, 14:40

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Quantum field theory proceedings of the ringberg workshop   breitenlohner , maison

Quantum field theory proceedings of the ringberg workshop breitenlohner , maison

... Beig, Wien, Austria J Ehlers, Potsdam, Germany U Frisch, Nice, France K Hepp, Z¨ rich, Switzerland u W Hillebrandt, Garching, Germany D Imboden, Z¨ rich, Switzerland u R L Jaffe, Cambridge, MA, ... Quantum Field Theory Proceedings of the Ringberg Workshop Held at Tegernsee, Germany, 21-24 June 1998 On the Occasion of Wolfhart Zimmermann’s 70th Birthday 13 Editors Peter Br...

Ngày tải lên: 17/03/2014, 14:41

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breitenlohner p., maison d. (eds.) quantum field theory

breitenlohner p., maison d. (eds.) quantum field theory

... Germany Series homepage – http://www.springer.de/phys/books/lnpp Peter Breitenlohner Dieter Maison (Eds.) Quantum Field Theory Proceedings of the Ringberg Workshop Held at Tegernsee, Germany, ... 10780725 55/3141/du - P Breitenlohner and D Maison (Eds.): Proceedings 1998, LNP 558, pp 3−14, 2000 © Springer-Verlag Berlin Heidelberg 2000 P Breitenlohner and D Maison (E...

Ngày tải lên: 24/04/2014, 17:09

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path integrals in quantum field theory

path integrals in quantum field theory

... formalism in a manner independent of the canonical formalism Path integrals in quantum mechanics To motivate our use of the path integral formalism in quantum field theory, we demonstrate how path integrals ... more interesting case of interacting fields The generating functional for self-interacting fields While free field theory has a certain amount of elegance to it, it...

Ngày tải lên: 24/04/2014, 17:10

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