Editing Statistical Physics part 2 - quantum theory (Book)
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For the following books, Anderson gives speculation as to the actual theory of high Tc, and some philosophy and misgivings about the direction of the field. He has valuable insight. Sachdev helps run a condensed matter group at Harvard, these books by him cover the basic ideas of the quantum hall effect and these further applications to topological field theory, while remaining grounded in the application. His ideas are based on holography (AdS/CFT) and D-brane technology from string theorists. It did not fit here, but a good general reference for D-branes is [https://www.google.com/books/edition/D_Branes/pnClL_tua_wC?hl=en&gbpv=1&printsec=frontcover Clifford Johnson's book] The later books are much more mathematical, and follow from the previous topics. A text on random matrices in physics is provided before the foray into the matrix model and Chern-Simons gauge theory (notably featuring Parisi, Marino, Di Francesco). It is consistent with our previous philosophy that mathematical and specifically statistical ideas are best seen through the lens of physics/statistical mechanics and geometry. It is a bit more advanced, covering connections to number theory, hydrodynamics, quantum gravity, but [https://www.google.com/books/edition/Random_Matrices/Kp3Nx03_gMwC?hl=en&gbpv=1&printsec=frontcover references an introductory text by Mehta] where basic results like Wigner's semicircle law and nuclear structure can be picked up. Wigner's original book on nuclear structure [https://www.google.com/books/edition/Nuclear_Structure/51bWCgAAQBAJ?hl=en&gbpv=1 can be found here]. | For the following books, Anderson gives speculation as to the actual theory of high Tc, and some philosophy and misgivings about the direction of the field. He has valuable insight. Sachdev helps run a condensed matter group at Harvard, these books by him cover the basic ideas of the quantum hall effect and these further applications to topological field theory, while remaining grounded in the application. His ideas are based on holography (AdS/CFT) and D-brane technology from string theorists. It did not fit here, but a good general reference for D-branes is [https://www.google.com/books/edition/D_Branes/pnClL_tua_wC?hl=en&gbpv=1&printsec=frontcover Clifford Johnson's book] The later books are much more mathematical, and follow from the previous topics. A text on random matrices in physics is provided before the foray into the matrix model and Chern-Simons gauge theory (notably featuring Parisi, Marino, Di Francesco). It is consistent with our previous philosophy that mathematical and specifically statistical ideas are best seen through the lens of physics/statistical mechanics and geometry. It is a bit more advanced, covering connections to number theory, hydrodynamics, quantum gravity, but [https://www.google.com/books/edition/Random_Matrices/Kp3Nx03_gMwC?hl=en&gbpv=1&printsec=frontcover references an introductory text by Mehta] where basic results like Wigner's semicircle law and nuclear structure can be picked up. Wigner's original book on nuclear structure [https://www.google.com/books/edition/Nuclear_Structure/51bWCgAAQBAJ?hl=en&gbpv=1 can be found here]. | ||
We end on another more physics-text discussing the appearance of gauge and other field theories in condensed matter, because it explains some recent progress. Finally, a text on the Integer and Fractional Quantum Hall effects featuring many legendary and some Nobel-prize winning condensed matter physicists | We end on another more physics-text discussing the appearance of gauge and other field theories in condensed matter, because it explains some recent progress. Finally, a text on the Integer and Fractional Quantum Hall effects featuring many legendary and some Nobel-prize winning condensed matter physicists. | ||
=== Applications === | === Applications === |