nLab Gerard ’t Hooft

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Selected writings

Proving the non-renormalizability of Einstein-gravity (general relativity):

• Gerard 't Hooft, Martinus Veltman, One loop divergencies in the theory of gravitation, Ann. Inst. Poincar é 20 (1974) 69 (numdam:AIHPA_1974__20_1_69_0)

Introducing 't Hooft double line notation and the large N limit of Yang-Mills theory/QCD at fixed 't Hooft coupling in terms of planar Feynman diagrams:

• Gerard 't Hooft, A Planar Diagram Theory for Strong Interactions, Nucl. Phys. B72 (1974) 461 (spire:80491, doi:10.1016/0550-3213(74)90154-0)

• Gerard 't Hooft, Large N, workshop lecture (hep-th/0204069)

On D=2 QCD ('t Hooft model):

• Gerard ’t Hooft, A Two-Dimensional Model For Mesons, Nucl. Phys. B75, 461 (1974) (doi:10.1016/0550-3213(74)90088-1)

Original argument that magnetic monopoles may appear in grand unified theories:

• Gerard ’t Hooft, Magnetic Monopoles in Unified Gauge Theories, Nucl. Phys. B 79 (1974) 276-284 [doi:10.1016/0550-3213(74)90486-6]

On naturalness and chiral symmetry breaking (and introducing the concept that became known as 't Hooft anomalies):

• Gerard 't Hooft, Naturalness, Chiral Symmetry, and Spontaneous Chiral Symmetry Breaking In: G. ‘Hooft et al., Recent Developments in Gauge Theories, NATO Advanced Study Institutes Series 59, Springer (1980) [doi:10.1007/978-1-4684-7571-5_9]

On 3d gravity as a Chern-Simons theory and its holographic relation to a 2d CFT boundary field theory (well before AdS/CFT was conceived from string theory):

• Stanley Deser, Roman Jackiw, Gerard 't Hooft, Three-dimensional Einstein gravity: Dynamics of flat space, Ann. Phys. 152 (1984) 220 (doi:10.1016/0003-4916(84)90085-X)

On instantons in chiral perturbation theory:

• Gerard 't Hooft, How instantons solve the $U(1)$ problem, Physics Reports 142 6 (1986) 357-387 [doi:10.1016/0370-1573(86)90117-1]

On non-perturbative quantum field theory:

• Gerard ’t Hooft, Arthur Jaffe, Gerhard Mack, P. K. Mitter, Raymond Stora (eds.) Nonperturbative Quantum Field Theory, NATO Science Series B 185 (1988) [doi:10.1007/978-1-4613-0729-7]

Introducing the holographic principle:

• Gerard 't Hooft, Dimensional Reduction in Quantum Gravity, talk at Conference on Highlights of Particle and Condensed Matter Physics (SALAMFEST) (1993) [gr-qc/9310026, spire:36137]

Related $n$Lab entries

• Yang-Mills theory

• piecewise flat spacetime

• ’t Hooft operator

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