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Quantum field theory connections
Published in Joanna A. Ellis-Monaghan, Iain Moffatt, Handbook of the Tutte Polynomial and Related Topics, 2022
Quantum field theory (QFT) is a general mathematical framework lying at the very heart of fundamental physics. It gives a quantum description of particles and interactions that is naturally compatible with Einstein's theory of special relativity. QFT led to the standard model of elementary particle physics, which is one of the best experimentally tested physical theories. QFT's mathematical formalism (which combines in an elegant way analysis, algebra, combinatorics and so on) also successfully applies to other branches of theoretical physics, such as condensed matter or statistical physics. The interested reader may consult any of the very good textbooks on QFT, such as [636, 918, 1132].
Nuclear and Particle Physics
Published in Walter Fox Smith, Experimental Physics, 2020
The underpinning of our current models is quantum field theory, which itself is a merging of quantum mechanics and special relativity. The “standard model” consists of a set of quantum field theories that describe all the known fundamental forces except gravity. The elementary particles that form the players in these theories are often listed in a table, organized according to the interactions in which they take part, as shown in Figure 21.1.
Some Aspects of Superstring Theory
Published in Harish Parthasarathy, Supersymmetry and Superstring Theory with Engineering Applications, 2023
A remark from Edward Witten’s lecture: Canonical Relativistic quantum field theory makes gravity an impossibility (due to renormalization problems) while string theory makes gravity inevitable (due to the appearance of the Einstein field equations when conformal invariance of the action is imposed).
On the unsolvability of bosonic quantum fields
Published in Philosophical Magazine, 2018
‘Hard’ physics is often described by a quantum field theory (QFT), or by some generalisation of it. Originally created to describe the interaction of light with atoms and, more generally, to combine special relativity with ordinary quantum mechanics, QFT was formulated for the first time as quantum electrodynamics (QED), a local relativistic QFT. Then it came the successful generalisation to describe weak and strong interactions, finally giving rise to the well-known standard model (SM) of particle physics.