# 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…

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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…

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- Physics
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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…

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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