Quantum Field Theory
@inproceedings{Wilczek1998QuantumFT, title={Quantum Field Theory}, author={Frank Wilczek}, booktitle={Compendium of Quantum Physics}, year={1998} }
Quantum field theory is the framework in which the regnant theories of the electroweak and strong interactions, which together form the standard model, are formulated. Quantum electrodynamics (QED), besides providing a complete foundation for atomic physics and chemistry, has supported calculations of physical quantities with unparalleled precision. The experimentally measured value of the magnetic dipole moment of the muon,
$${\left({{g_\mu } - 2} \right)_{\exp }} = 233\,184\,600\,\left…
3,529 Citations
Higher-order fermion effective interactions in a bosonization approach
- Physics
- 2015
Three different fermion effective potentials given by series of bilinears, $$\sum\nolimits_j^N {\left( {\bar \psi _a \psi _a } \right)^{2^j } ,} \sum\nolimits_j^N {\left( {\bar \psi _a \psi _a }…
A remark on gauge invariance in wavelet-based quantum field theory
- Mathematics
- 2009
Wavelet transform has been attracting attention as a tool for regularization of gauge theories since the first paper of (Federbush, Progr. Theor. Phys. 94, 1135, 1995), where the integral…
Field theory of the d +t→n+α reaction dominated by a 5 He * unstable particle
- Physics
- 2014
An effective, nonrelativistic quantum field theory for the $dt\ensuremath{\rightarrow}n\ensuremath{\alpha}$ fusion reaction in the low-energy, resonance region is presented. The theory assumes that…
Conformal transformations and doubling of the particle states
- Physics, Mathematics
- 2012
The 6D and 5D representations of the four-dimensional (4D) interacted fields and the corresponding equations of motion are obtained using equivalence of the conformal transformations of the…
Field Theory with Fourth-order Differential Equations
- Physics
- 2017
We introduce a new class of higgs type fields $\{U,U^{\mu},U^{\mu\nu}\}$ with Feynman propagator $\thicksim 1/p^4$, and consider the matching to the traditional gauge fields with propagator…
Local electric current correlation function in an exponentially decaying magnetic field
- Physics
- 2012
The effect of an exponentially decaying magnetic field on the dynamics of Dirac fermions in $3+1$ dimensions is explored. The spatially decaying magnetic field is assumed to be aligned in the third…
Estimate of the energy of vacuum fluctuations of non-Abelian gauge fields from the uncertainty relations
- Physics
- 2012
We derive the commutation relations for field strengthes of the non-Abelian gauge fields by requiring that the quantum mechanical equations of motion coincide with the classical field equations. The…
Yang-Mills Measure and Axial Gauge Fixing on $\mathbb{R}^4$
- Mathematics
- 2017
Let $\mathfrak{g}$ be a semi-simple Lie algebra. For a $\mathfrak{g}$-valued 1-form $A$, consider the Yang-Mills action \begin{equation} S_{YM}(A) = \int_{\mathbb{R}^4} \left|dA + A \wedge A…
Light-like scattering in quantum gravity
- PhysicsJournal of High Energy Physics
- 2016
We consider scattering in quantum gravity and derive long-range classical and quantum contributions to the scattering of light-like bosons and fermions (spin-0, spin-12\documentclass[12pt]{minimal}…
A hitchhiker's guide to quantum field theoretic aspects of $\mathcal{N}=4$ SYM theory and its deformations
- Mathematics
- 2017
In this thesis, we investigate properties of the one-parameter $\beta$- and the three-parameter $\gamma_i$-deformed descendents of $\mathcal{N}=4$ SYM theory. We find additional multi-trace…
References
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This is a practical introduction to the principal ideas in gauge theory and their applications to elementary particle physics. It explains technique and methodology with simple exposition backed up…
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Quantum Mechanics Made Simple: Lecture NotesQuantum Field Theory and the Standard Model: Schwartz Learn quantum computing: a field guide IBM QuantumQuantum Field TheoryIntroduction to Classical Field…
Introduction to quantum field theory
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Even the uninitiated will know that Quantum Field Theory cannot be introduced systematically in just four lectures. I try to give a reasonably connected outline of part of it, from second…
The Quantum Theory of Light
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Preface 1. Planck's radiation law and the Einstein coefficients 2. Quantum mechanics of the atom-radiation interaction 3. Classical theory of optical fluctuations and coherence 4. Quantization of the…
For further information about quantum field theory, the reader may wish to consult
- For further information about quantum field theory, the reader may wish to consult