Quantum Field Theory

@inproceedings{Wilczek1998QuantumFT,
  title={Quantum Field Theory},
  author={Frank Wilczek},
  booktitle={Compendium of Quantum Physics},
  year={1998}
}
  • F. Wilczek
  • Published in Compendium of Quantum Physics 9 March 1998
  • Physics
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… 

Figures from this paper

Higher-order fermion effective interactions in a bosonization approach

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

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

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

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

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

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

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 $\mathbb{R}^4$

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

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

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

SHOWING 1-7 OF 7 REFERENCES

Gauge Theory of elementary particle physics

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

Introduction to quantum field theory

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

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

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