Broken Symmetries and the Masses of Gauge Bosons

Higgs, Paul G.

doi:10.1103/physrevlett.13.508

Cited by 4,059 publications

(3,774 citation statements)

References 8 publications

Supporting

Mentioning

3,674

Contrasting

Unclassified

Order By: Relevance

“…The theory under consideration here is the ungauged O(N ) scalar model described by the Lagrangian As a consequence of the Goldstone theorem [7,8], the theory predicts N − 1 Goldstone bosons and one Higgs particle H [27][28][29].…”

Section: The Goldstone Theorem and Ward Identitiesmentioning

confidence: 99%

Symmetry-improved CJT effective action

2013

View full text Add to dashboard Cite

The formalism introduced by Cornwall, Jackiw and Tomboulis (CJT) provides a systematic approach to consistently resumming non-perturbative effects in Quantum Thermal Field Theory. One major limitation of the CJT effective action is that its loopwise expansion introduces residual violations of possible global symmetries, thus giving rise to massive Goldstone bosons in the spontaneously broken phase of the theory. In this paper we develop a novel symmetry-improved CJT formalism for consistently encoding global symmetries in a loopwise expansion. In our formalism, the extremal solutions of the fields and propagators to a loopwise truncated CJT effective action are subject to additional constraints given by the Ward identities due to global symmetries. By considering a simple O(2) scalar model, we show that, unlike other methods, our approach satisfies a number of important field-theoretic properties. In particular, we find that the Goldstone boson resulting from spontaneous symmetry breaking of O (2) is massless and the phase transition is a second order one, already in the Hartree-Fock approximation. After taking the sunset diagrams into account, we show how our approach properly describes the threshold properties of the massless Goldstone boson and the Higgs particle in the loops. Finally, assuming minimal modifications to the Hartree-Fock approximated CJT effective action, we calculate the corresponding symmetryimproved CJT effective potential and discuss the conditions for its uniqueness for scalar-field values away from its minimum.

show abstract

Section: The Goldstone Theorem and Ward Identitiesmentioning

confidence: 99%

Symmetry-improved CJT effective action

2013

View full text Add to dashboard Cite

show abstract

“…The way this happens in the Standard Model is through the same mechanism that breaks the U(1) × SU(2) group down to its U(1) Q subgroup, and is called the Brout-Englert-Higgs mechanism after a number of its inventors [3,4,6,7,8,9,10,11,12].…”

Section: The Brout-englert-higgs Mechanismmentioning

confidence: 99%

Search for Heavy Resonances in the Dimuon Channel with the DØ Detector

Berg

2009

View full text Add to dashboard Cite

“…-You can look at the original articles by Higgs [26,27] or Brout and Englert [28], but they are rather short and not really on top of the phenomenological aspects of the topic. Other papers for example by Guralnik, Hagen, Kibble [29] tend to be harder to read for phenomenologically interested students.…”

Section: Further Readingmentioning

confidence: 99%

Lectures on LHC Physics

Plehn

2012

Lecture Notes in Physics

View full text Add to dashboard Cite

With the discovery of the Higgs boson the LHC experiments have closed the most important gap in our understanding of fundamental interactions. We now know that the interactions between elementary particles can be described by quantum field theory, more specifically by a renormalizable gauge theory. This theory is valid to arbitrarily high energy scales and do not require an ultraviolet completion. In these notes I cover three aspects to help understand LHC results in the Higgs sector and in searches for physics beyond the Standard Model: many facets of Higgs physics, QCD as it is relevant for LHC measurements, and standard phenomenological background knowledge. The lectures should put young graduate students into a position to really follow advanced writeups and first research papers. In that sense they can serve as a starting point for a research project in LHC physics. With this new, significantly expanded version I am confident that also some more senior colleagues will find them useful and interesting.

show abstract

Broken Symmetries and the Masses of Gauge Bosons

Abstract: In a recent note' it was shown that the Goldstone theorem, ' that Lorentz-covaria. nt field

Cited by 4,059 publications

References 8 publications

Symmetry-improved CJT effective action

Symmetry-improved CJT effective action

Search for Heavy Resonances in the Dimuon Channel with the DØ Detector

Lectures on LHC Physics

Contact Info

Product

Resources

About