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oapen-20.500.12657-640222023-07-20T02:52:35Z Introduction to Quantum Fields on a Lattice Smit, Jan non-perturbative quantum field theory path integrals lattice regularisation weak and strong coupling expansions O(n) models gauge field on the lattice Higgs field quark confinement non-Abelian gauge fields U(1) gauge theory SU(n) gauge theory fermions on the lattice low mass hadrons in QCD chiral symmetry temporal gauge quantization fermionic coherent states spinor fields bic Book Industry Communication::P Mathematics & science::PH Physics::PHN Nuclear physics This book provides a concise introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory, as well as quantized non-Abelian gauge fields, scaling and universality. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses. 2023-07-19T14:17:35Z 2023-07-19T14:17:35Z 2003 book ONIX_20230719_9781009402705_21 9781009402705 https://library.oapen.org/handle/20.500.12657/64022 eng application/pdf Attribution-NonCommercial-NoDerivatives 4.0 International 9781009402705.pdf Cambridge University Press 10.1017/9781009402705 10.1017/9781009402705 7607a2d0-47af-490f-9d2a-8c9340266f8a c2fbf30c-ef0f-473b-8ee4-03e135ae04d0 9781009402705 SCOAP3 for Books [...] SCOAP3 open access
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OAPEN
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DSpace
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| language |
English
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| description |
This book provides a concise introduction to quantum fields on a lattice: a precise and non-perturbative definition of quantum field theory obtained by replacing continuous space-time by a discrete set of points on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory, as well as quantized non-Abelian gauge fields, scaling and universality. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses.
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9781009402705.pdf
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| spellingShingle |
9781009402705.pdf
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| title_short |
9781009402705.pdf
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| title_full |
9781009402705.pdf
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| title_fullStr |
9781009402705.pdf
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9781009402705.pdf
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| title_sort |
9781009402705.pdf
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| publisher |
Cambridge University Press
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| publishDate |
2023
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1799945258173202432
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