Resources, Readings, and References

Resources, Readings, and References#

Readings#

  • []: A very nice textbook with examples of random walks, the Ising model, percolation, Feigenbaum’s constant, \(\phi^4\) theory and more. Unfortunately, very hard to find, although we do have a copy in our library.

  • John McGreevy’s Lecture Notes (PDF): Based on his course Physics 217, The Renormalization Group, Fall 2018 (UCSD), these notes cover and expand upon many of the ideas in [] we discuss here.

  • [Lepage, 1997]: “How to Renormalize the Schrödinger Equation”. Fantastic tour of regularization, renormalization, and the principles of modern effective theory using the Schrödinger equation as an example. I highly recommend you work through as much of this as possible.

  • [Huang, 2013]: “A critical history of renormalization”. An interesting discussion of renormalization group with regards to the nature of physical theories. Additional discussions can be found in [Huang, 2007] (ebook available through the WSU Library) and [Huang, 2008] (print book available in the library).

References#

[Boy89]

John P. Boyd. Chebyshev and Fourier Spectral Methods. Volume 49 of Lecture Notes in Engineering. Dover, Berlin Heidelberg, 2 edition, 1989. ISBN 978-0486411835. URL: http://www-personal.umich.edu/~jpboyd/BOOK_Spectral2000.html.

[Col88]

Sidney Coleman. Aspects of symmetry: Selected Erice Lectures of Sidney Coleman. Cambridge University Press, Cambridge, 1988.

[CKS95]

Fred Cooper, Avinash Khare, and Uday Sukhatme. Supersymmetry and quantum mechanics. Phys. Rep., 251(5-6):267–385, 1995. arXiv:hep-th/9405029v2, doi:10.1016/0370-1573(94)00080-M.

[CFP92]

R. J. Creswick, H. A. Farach, and C. P. Poole, Jr. Introduction to Renormalization Group Methods in Physics. Wiley, 1 edition, 1992. ISBN 9780471600138.

[Fei78]

Mitchell J. Feigenbaum. Quantitative universality for a class of nonlinear transformations. Journal of Statistical Physics, 19(1):25–52, July 1978. URL: https://doi.org/10.1007%2Fbf01020332, doi:10.1007/bf01020332.

[Hua07]

Kerson Huang. Fundamental Forces Of Nature: The Story Of Gauge Fields. World Scientific, Singapore, SINGAPORE, 2007. ISBN 9789812770714. URL: http://ebookcentral.proquest.com/lib/wsu/detail.action?docID=312372, doi:10.1142/6447.

[Hua08]

Kerson Huang. Statistical Mechanics. Wiley, New York, 2 edition, 2008. ISBN 9788126518494.

[Hua13]

Kerson Huang. A critical history of renormaliation. Int. J. Mod. Phys. A, 28(29):1330050, November 2013. arXiv:1310.5533, doi:10.1142/s0217751x13300500.

[Lep97]

Peter Lepage. How to renormalize the Schrödinger equation. 1997. URL: http://arxiv.org/abs/nucl-th/9706029, arXiv:nucl-th/9706029.

[LC02]

Robert G. Littlejohn and Matthew Cargo. Bessel discrete variable representation bases. J. Chem. Phys., 117(1):27–36, July 2002. doi:10.1063/1.1481388.

[McG18]

John McGreevy. Physics 217: The renormalization group, Fall 2018. 2018. URL: http://physics.ucsd.edu/~mcgreevy/f18/.

[Mer07]

N. D. Mermin. Quantum Computer Science: An Introduction. Cambridge University Press, 2007. ISBN 978-0-511-33982-0. URL: https://www.cambridge.org/core/books/quantum-computer-science/66462590D10C8010017CF1D7C45708D7, doi:10.1017/CBO9780511813870.

[ML03]

Cleve Moler and Charles Van Loan. Nineteen dubious ways to compute the exponential of a matrix, twenty-five years later. SIAM Review, 45(1):3–49, 2003. URL: http://dx.doi.org/10.1137/S00361445024180, doi:10.1137/S00361445024180.

[NC10]

Michael A. Nielsen and Isaac L. Chuang. Quantum Computation and Quantum Information. Cambridge University Press, 2010. URL: https://doi.org/10.1017%2Fcbo9780511976667, doi:10.1017/cbo9780511976667.

Linear Algebra#