scholarly journals Some recent advances in bound-state quantum electrodynamics

2005 ◽  
Vol 83 (4) ◽  
pp. 375-386 ◽  
Author(s):  
U D Jentschura ◽  
J Evers
Keyword(s):  
Effective Field Theories ◽  
Quantum Electrodynamics ◽  
Lamb Shift ◽  
Recent Progress ◽  
Bound State ◽  
Effective Field ◽  
Field Theories ◽  
Nonrelativistic Quantum ◽  
Self Energy ◽  
Bound Electron

We discuss recent progress in various problems related to bound-state quantum electrodynamics: the bound-electron g factor, two-loop self-energy corrections, and the laser-dressed Lamb shift. The progress relies on various advances in the bound-state formalism, including ideas inspired by effective field theories such as nonrelativistic quantum electrodynamics. Radiative corrections in dynamical processes represent a promising field for further investigations. PACS Nos.: 31.15.–p, 12.20.Ds

scholarly journals A THEORETICAL REVIEW OF HEAVY QUARKONIUM INCLUSIVE DECAYS

2004 ◽  
Vol 19 (04) ◽  
pp. 253-269 ◽  
Author(s):  
ANTONIO VAIRO
Keyword(s):  
Effective Field Theories ◽  
Recent Progress ◽  
Effective Field ◽  
Field Theories ◽  
Heavy Quarkonium ◽  
Theoretical Knowledge ◽  
Inclusive Decays ◽  
Made In

In this brief review, we summarize the current theoretical knowledge of heavy quarkonium inclusive decays, with emphasis on recent progress made in the framework of QCD effective field theories. In the appendix, we list the imaginary parts of the matching coefficients of dimensions six and eight NRQCD four-fermion operators as presently known.

scholarly journals Quantum electrodynamics in finite volume and nonrelativistic effective field theories

2016 ◽  
Vol 755 ◽  
pp. 245-248 ◽  
Author(s):  
Z. Fodor ◽  
C. Hoelbling ◽  
S.D. Katz ◽  
L. Lellouch ◽  
A. Portelli ◽  
...  
Keyword(s):  
Effective Field Theories ◽  
Finite Volume ◽  
Quantum Electrodynamics ◽  
Effective Field ◽  
Field Theories

scholarly journals Derivation of the Lamb shift using an effective field theory

1999 ◽  
Vol 77 (4) ◽  
pp. 267-278 ◽  
Author(s):  
P Labelle ◽  
S M Zebarjad
Keyword(s):  
Field Theory ◽  
Effective Field Theories ◽  
Effective Field Theory ◽  
Lamb Shift ◽  
Multipole Expansion ◽  
Effective Field ◽  
Field Theories ◽  
Modern Language ◽  
First Time ◽  
Special Case

We rederive the Ο(α5) shift of the hydrogen levels in the nonrecoil limit (me/mP →> 0) using an extension of nonrelativistic QED (NRQED), an effective field theory developed by Caswell and Lepage. Our result contains the Lamb shift as a special case. Although this calculation is not new, it is presented here for the first time using the modern language of effective field theories. It clearly illustrates the usefulness of applying a multipole expansion to the NRQED vertices.PACS Nos.: 31.30Jv, 31.15Ar, 31.15Md, and 11.10St

scholarly journals Exceptional nonrelativistic effective field theories with enhanced symmetries

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Tomáš Brauner
Keyword(s):  
Effective Field Theories ◽  
Explicit Construction ◽  
Effective Field ◽  
Field Theories ◽  
Relativistic Case ◽  
Starting Point ◽  
Higher Power ◽  
Mere Presence ◽  
Spatial Rotations

Abstract We initiate the classification of nonrelativistic effective field theories (EFTs) for Nambu-Goldstone (NG) bosons, possessing a set of redundant, coordinate-dependent symmetries. Similarly to the relativistic case, such EFTs are natural candidates for “exceptional” theories, whose scattering amplitudes feature an enhanced soft limit, that is, scale with a higher power of momentum at long wavelengths than expected based on the mere presence of Adler’s zero. The starting point of our framework is the assumption of invariance under spacetime translations and spatial rotations. The setup is nevertheless general enough to accommodate a variety of nontrivial kinematical algebras, including the Poincaré, Galilei (or Bargmann) and Carroll algebras. Our main result is an explicit construction of the nonrelativistic versions of two infinite classes of exceptional theories: the multi-Galileon and the multi-flavor Dirac-Born-Infeld (DBI) theories. In both cases, we uncover novel Wess-Zumino terms, not present in their relativistic counterparts, realizing nontrivially the shift symmetries acting on the NG fields. We demonstrate how the symmetries of the Galileon and DBI theories can be made compatible with a nonrelativistic, quadratic dispersion relation of (some of) the NG modes.

scholarly journals The Swampland Conjectures: A Bridge from Quantum Gravity to Particle Physics

Universe ◽  
2021 ◽  
Vol 7 (8) ◽  
pp. 273
Author(s):  
Mariana Graña ◽  
Alvaro Herráez
Keyword(s):  
Effective Field Theories ◽  
Quantum Gravity ◽  
Particle Physics ◽  
Effective Field ◽  
Low Energy ◽  
Field Theories ◽  
Neutrino Masses ◽  
Higgs Potential ◽  
Photon Mass ◽  
Effective Theories

The swampland is the set of seemingly consistent low-energy effective field theories that cannot be consistently coupled to quantum gravity. In this review we cover some of the conjectural properties that effective theories should possess in order not to fall in the swampland, and we give an overview of their main applications to particle physics. The latter include predictions on neutrino masses, bounds on the cosmological constant, the electroweak and QCD scales, the photon mass, the Higgs potential and some insights about supersymmetry.

scholarly journals A note on gauge anomaly cancellation in effective field theories

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Ferruccio Feruglio
Keyword(s):  
Effective Field Theories ◽  
Effective Field ◽  
Field Theories ◽  
Anomaly Cancellation ◽  
Charge Assignment ◽  
The Standard Model ◽  
Renormalizable Theory ◽  
Complete Set ◽  
Gauge Anomalies ◽  
Gauge Anomaly

Abstract The conditions for the absence of gauge anomalies in effective field theories (EFT) are rivisited. General results from the cohomology of the BRST operator do not prevent potential anomalies arising from the non-renormalizable sector, when the gauge group is not semi-simple, like in the Standard Model EFT (SMEFT). By considering a simple explicit model that mimics the SMEFT properties, we compute the anomaly in the regularized theory, including a complete set of dimension six operators. We show that the dependence of the anomaly on the non-renormalizable part can be removed by adding a local counterterm to the theory. As a result the condition for gauge anomaly cancellation is completely controlled by the charge assignment of the fermion sector, as in the renormalizable theory.

scholarly journals Renormalons in effective field theories

1995 ◽  
Vol 51 (9) ◽  
pp. 4924-4933 ◽  
Author(s):  
Michael Luke ◽  
Aneesh V. Manohar ◽  
Martin J. Savage
Keyword(s):  
Effective Field Theories ◽  
Effective Field ◽  
Field Theories
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