Glossary
- Condensed Matter:
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The study of a system of quantum nonrelativistic particles, like the conduction electrons in a metal.
- Quantum Field Theory:
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The theory combining special relativity and quantum mechanics.
- Bosons and Fermions:
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The two families of quantum particles. For instance, electrons are fermions and photons are bosons.
Definition of the Subject and Its Importance
Quantum field theory and condensed matter have strong similarities, despite the fact that the physical phenomena which describe are rather different. In the first case, one has to deal with high-energy physics problems, where the properties of particles are described by the combination of special relativity and quantum physics. In the second case, one has to deal with the low-energy properties of a system of an enormous number of quantum particles, whose collective behaviour determines the properties of matter; in particular, the exotic low temperature phenomena driven by quantum physics. In both cases, the...
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Biblilography
Bauerschmidt R, Brydges D, Slade G (2019) Introduction to a renormalisation group method. Springer, Germany
Benfatto G, Gallavotti G (1995) Renormalization group. Princeton University Press, Princeton
Mastropietro V (2008) Non perturbative Renormalization. World Scientific, Singapore
Rivasseau V (1991) From perturbative to constructive renormalization. Princeton University Press, Princeton
Salmhofer M (1999) Renormalization. Springer, Germany
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Mastropietro, V. (2022). Convergent Perturbative Expansions in Condensed Matter and Quantum Field Theory. In: Meyers, R.A. (eds) Encyclopedia of Complexity and Systems Science. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27737-5_763-1
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DOI: https://doi.org/10.1007/978-3-642-27737-5_763-1
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Online ISBN: 978-3-642-27737-5
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