# Quantum Field Theory

@article{Wilczek1999QuantumFT,
title={Quantum Field Theory},
author={Frank Wilczek},
journal={Reviews of Modern Physics},
year={1999},
volume={71},
pages={143-160}
}
• F. Wilczek
• Published 1999
• Physics
• Reviews of Modern 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, $${\left({{g_\mu } - 2} \right)_{\exp }} = 233\,184\,600\,\left… Expand 3,015 Citations #### Figures from this paper #### Paper Mentions Higher-order fermion effective interactions in a bosonization approach Three different fermion effective potentials given by series of bilinears,$$\sum\nolimits_j^N {\left( {\bar \psi _a \psi _a } \right)^{2^j } ,} \sum\nolimits_j^N {\left( {\bar \psi _a \psi _a }Expand
A remark on gauge invariance in wavelet-based quantum field theory
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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 integralExpand
Conformal group of transformations of the quantum field operators in the momentum space and the five dimensional Lagrangian approach
Conformal group of transformations in the momentum space, consisting of translations $p'_{\mu}=p_{\mu}+h_{\mu}$, rotations $p'_{\mu}=\Lambda^{\nu}_{\mu}p_{\nu}$, dilatation $p'_{\mu}=\lambda p_{\mu}$Expand
On relationship between conformal transformations and broken chiral symmetry
Starting with the conformal transformations in the momentum space, the nonlinear $\sigma$-model and the standard model with the spontaneous broken $SU(2)\times U(1)$ symmetry are reproduced. TheExpand
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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 thatExpand
Method for calculating the imaginary part of the Hadamard elementary function G ( 1 ) in static, spherically symmetric spacetimes
Whenever real particle production occurs in quantum field theory, the imaginary part of the Hadamard elementary function ${G}^{(1)}$ is non-vanishing. A method is presented whereby the imaginary partExpand
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 propagatorExpand
Bounds on quantum gravity parameter from the $SU(2)$ NJL effective model of QCD
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Existence of a minimal measurable length, as an effective cutoff in the ultraviolet regime, is a common feature of all approaches to the quantum gravity proposal. It is widely believed that thisExpand
Relativistic field-theoretical approach to the inverse scattering problem
The inverse scattering problem for the relativistic three-dimensional equation $\Bigl(2E_{\bf p'}-2E_{\bf p}\Bigr) = -\int V(t)d^3{\bf p''}$ with $E_{\bf p}=\sqrt{m^2+{\bf p}^2}$ and $t=\Bigl(E_{\bfExpand Yang-Mills Measure and Axial Gauge Fixing on$\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 S_{YM}(A) = \int_{\mathbb{R}^4} \left|dA + A \wedge AExpand

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For further information about quantum eld theory, the reader may wish to consult
• For further information about quantum eld theory, the reader may wish to consult
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