Perturbative gauge invariance: the electroweak theory

Dütsch, Michael; Schaf, Günter

doi:10.1002/(sici)1521-3889(199905)8:5<359::aid-andp359>3.0.co;2-m

Cited by 37 publications

(71 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There is no obstacle to include spinor fields in our treatment of BRST-symmetry (sects. 4.4 and 4.5), see [7], the last paper of of [11], [15] and [21].…”

Section: The Master Brst-identitymentioning

confidence: 99%

“…However, even with this simplification, it seems to be faster to compute the r.h.s. of (150) (by using the techniques of [11], [15]), instead of the straightforward computation of the l.h.s.. Thereby, the T -products of second order must fulfill the normalization condition (N3), because the MWI presupposes this condition.…”

Section: Massless Gauge Fields: Determination Of the Interactionmentioning

confidence: 99%

“…But in contrast to this reference we do not perform the adiabatic limit and, hence, avoid the infrared divergences. The mentioned perturbative gauge invariance [11], [15] does not suffice for our local construction of observables in non-Abelian (massless or massive) gauge theories. But we show that ghost number conservation and the master BRST-identity contain all information which is needed for this construction.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The Master Ward Identity

2002

View full text Add to dashboard Cite

In the framework of perturbative quantum field theory (QFT) we propose a new, universal (re)normalization condition (called 'master Ward identity') which expresses the symmetries of the underlying classical theory. It implies for example the field equations, energy-momentum, chargeand ghost-number conservation, renormalized equal-time commutation relations and BRST-symmetry.It seems that the master Ward identity can nearly always be satisfied, the only exceptions we know are the usual anomalies. We prove the compatibility of the master Ward identity with the other (re)normalization conditions of causal perturbation theory, and for pure massive theories we show that the 'central solution' of Epstein and Glaser fulfills the master Ward identity, if the UV-scaling behavior of its individual terms is not relatively lowered.Application of the master Ward identity to the BRST-current of nonAbelian gauge theories generates an identity (called 'master BRST-identity') which contains the information which is needed for a local construction of the algebra of observables, i.e. the elimination of the unphysical fields and the construction of physical states in the presence of an adiabatically switched off interaction.

show abstract

“…There is no obstacle to include spinor fields in our treatment of BRST-symmetry (sects. 4.4 and 4.5), see [7], the last paper of of [11], [15] and [21].…”

Section: The Master Brst-identitymentioning

confidence: 99%

Section: Massless Gauge Fields: Determination Of the Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

The Master Ward Identity

2002

View full text Add to dashboard Cite

show abstract

“…The inclusion of additional physical scalar fields (corresponding to Higgs fields) yields a solution [15].…”

Section: Introductionmentioning

confidence: 99%

Proof of perturbative gauge invariance for tree diagrams to all orders

Dütsch

2005

Ann. Phys.

View full text Add to dashboard Cite

show abstract

“…With other words the Hilbert space representations of the oscillator algebra are different in both cases. The charge spectrum of the chiral theory is the whole R n and the sigmamodel fields Ψ in (67) are the charge carriers. On the other hand the spectrum of the representation of the Poincaré group is contained in the forward light cone and has mass gaps.…”

Section: The Dual Model Misunderstandings About Particle Crossingmentioning

confidence: 99%

Modular localization and the holistic structure of causal quantum theory, a historical perspective

Schroer

2014

View full text Add to dashboard Cite

Recent insights into the conceptual structure of localization in QFT ("modular localization") led to clarifications of old unsolved problems. The oldest one is the Einstein-Jordan conundrum which led Jordan in 1925 to the discovery of quantum field theory. This comparison of fluctuations in subsystems of heat bath systems (Einstein) with those resulting from the restriction of the QFT vacuum state to an open subvolume (Jordan) leads to a perfect analogy; the globally pure vacuum state becomes upon local restriction a strongly impure KMS state. This phenomenon of localization-caused thermal behavior as well as the vacuum-polarization clouds at the causal boundary of the localization region places localization in QFT into a sharp contrast with quantum mechanics and justifies the attribute "holstic". In fact it positions the E-J Gedankenexperiment into the same conceptual category as the cosmological constant problem and the Unruh Gedankenexperiment. The holistic structure of QFT resulting from "modular localization" also leads to a revision of the conceptual origin of the crucial crossing property which entered particle theory at the time of the bootstrap S-matrix approach but suffered from incorrect use in the S-matrix settings of the dual model and string theory.The new holistic point of view, which strengthens the autonomous aspect of QFT, also comes with new messages for gauge theory by exposing the clash between Hilbert space structure and localization and presenting alternative solutions based on the use of stringlocal fields in Hilbert space. Among other things this leads to a radical reformulation of the Englert-Higgs symmetry breaking mechanism. Contents 1 Introduction 282 Vacuum polarization, area law 383 Modular localization and its thermal manifestation 424 The E-J conundrum, Jordan's model 545 Particle crossing, on-shell constructions from modular setting 58 PrefaceThe subject of this paper grew out of many discussions about Jordan's discovery of quantum field theory (QFT) which I had with the late Jürgen Ehlers. These conversations focussed in particular on events between the publication of Jordan's thesis on quantum aspects of statistical quantum mechanics in 1924 [1], and his discovery of QFT which was published in one section of the famous 1926 "Dreimännerarbeit" [2] together with Born and Heisenberg. This famous paper was in fact conceived as the second paper on quantum mechanics (QM). The resistance of Born and Heisenberg against Jordan's section has its natural explanation in that these two authors felt that Jordan was burdening the conceptual struggle to understand the new quantum mechanics with something which was even further out. I met Jürgen Ehlers the first time around 1957 at the University of Hamburg when he was Jordan's assistant and played the leading role in Jordan's general relativity seminar. Our paths split, after I wrote my diploma thesis on a topic of particle theory at the time when particle physics moved away from the university to the newly constructed high energy la...

show abstract

Perturbative gauge invariance: the electroweak theory

Cited by 37 publications

References 21 publications

The Master Ward Identity

The Master Ward Identity

Proof of perturbative gauge invariance for tree diagrams to all orders

Modular localization and the holistic structure of causal quantum theory, a historical perspective

Contact Info

Product

Resources

About