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Gauge-invariant perturbation theory for theories with a Brout-Englert-Higgs effect, as developed by Fr\"ohlich, Morchio and Strocchi, starts out from physical, exactly gauge-invariant quantities as initial and final states. These are…

高能物理 - 格点 · 物理学 2016-10-14 Pascal Törek , Axel Maas

We consider perturbative quantum field theory in the causal framework. Gauge invariance is, in this framework, an identity involving chronological products of the interaction Lagrangian; it express the fact that the scattering matrix must…

高能物理 - 理论 · 物理学 2017-09-13 Dan-Radu Grigore

We provide the first extensive, numerical study of the non-trivial problem of mixing between flavor-singlet composite states emerging in strongly coupled lattice field theories with matter field content consisting of fermions transforming…

The processes of production and subsequent decay of W- and Z-bosons in $e^+ e^-$ collisions are considered in a recently proposed modified perturbation theory (PT), based on a direct expansion of probabilities instead of amplitudes. In such…

高能物理 - 唯象学 · 物理学 2009-01-07 M. L. Nekrasov

In many BSM theories, especially GUTs, introducing a Brout-Englert-Higgs effect allows for multiple breaking patterns of the gauge symmetry. The possibility to select a particular pattern is usually decisive for the phenomenological…

高能物理 - 格点 · 物理学 2023-08-09 Elizabeth Dobson , Axel Maas , Bernd Riederer

A recent construction of the electroweak theory, based on perturbative quantum gauge invariance alone, is extended to the case of more generations of fermions with arbitrary mixing. The conditions implied by second order gauge invariance…

高能物理 - 理论 · 物理学 2009-10-30 Andreas Aste , Michael Dütsch , Günter Scharf

Manifest gauge-invariance requires that observable states in the standard-model are described by composite operators, which involve additional Higgs contributions beyond perturbation theory. This field-theoretical effect has been confirmed…

高能物理 - 唯象学 · 物理学 2020-06-17 Axel Maas , Simon Fernbach , Lukas Lechner , Simon Plätzer , Robert Schöfbeck , Pascal Törek

The matrix product state formalism is used to simulate Hamiltonian lattice gauge theories. To this end, we define matrix product state manifolds which are manifestly gauge invariant. As an application, we study 1+1 dimensional one flavour…

高能物理 - 格点 · 物理学 2014-11-04 Boye Buyens , Jutho Haegeman , Karel Van Acoleyen , Henri Verschelde , Frank Verstraete

Gauge theories have been a cornerstone of the description of the world at the level of the fundamental particles. The Lagrangian or the action describing the corresponding interactions is invariant under certain gauge transformations. This…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Bashir , A. Raya

By means of the continuous unitary transformation similar to a general scheme of the Renormalization Group (RG) procedure we study the issue of symmetry breaking and pairing instability in the system of interacting fermions. Constructing a…

超导电性 · 物理学 2009-11-11 T. Domanski , A. Donabidowicz

We propose a model independent approach for the analysis of interference effects in the process of QCD pair production of new heavy quarks of different species that decay into Standard Model particles, including decays via flavour changing…

高能物理 - 唯象学 · 物理学 2015-06-17 Daniele Barducci , Alexander Belyaev , Jacob Blamey , Stefano Moretti , Luca Panizzi , Hugo Prager

Lattice gauge theory is an important framework for studying gauge theories that arise in the Standard Model and condensed matter physics. Yet many systems (or regimes of those systems) are difficult to study using conventional techniques,…

高能物理 - 格点 · 物理学 2026-04-09 Ariel Kelman , Umberto Borla , Patrick Emonts , Erez Zohar

The evolution of gauge invariant second-order scalar perturbations in a general single field inflationary scenario are presented. Different second order gauge invariant expressions for the curvature are considered. We evaluate…

广义相对论与量子宇宙学 · 物理学 2008-11-26 F. Finelli , G. Marozzi , G. P. Vacca , G. Venturi

We analyze four-lepton contact interactions that lead to lepton flavor violating processes, with violation of individual family lepton number but total lepton number conserved. In an effective Lagrangian framework, the assumption of gauge…

高能物理 - 唯象学 · 物理学 2010-04-05 Alejandro Ibarra , Eduard Masso , Javier Redondo

The aim of this review is to describe the field-theoretical foundations of Brout-Englert-Higgs (BEH) physics, and to show how the usual phenomenology arises from it. This requires to give a precise and gauge-invariant meaning to the…

高能物理 - 唯象学 · 物理学 2019-04-17 Axel Maas

We discuss $\mathcal{PT}$-symmetric Abelian gauge field theories, as well as their extension to the Englert-Brout-Higgs mechanism for generating a mass for a vector boson. Gauge invariance is not straightforward, and we discuss the…

高能物理 - 理论 · 物理学 2019-04-25 Jean Alexandre , John Ellis , Peter Millington , Dries Seynaeve

Gauge theories with finite gauge groups have applications to quantum simulation and quantum gravity. Recently, the exact number of gauge-invariant states was computed for pure gauge theories on arbitrary lattices. In this work, we…

量子物理 · 物理学 2025-11-20 Alessandro Mariani

The discovery of the Higgs together with the excellent performance of the LHC allow to make precision tests of Brout-Englert-Higgs Physics, and especially its underlying field-theory. In this field theory strict gauge-invariance requires…

高能物理 - 唯象学 · 物理学 2017-11-07 Axel Maas , Larissa Egger

A symmetrically doped double layer electron system with total filling fraction $\nu=1/m$ decouples into two even denominator ($\nu=1/2 m$) composite fermion `metals' when the layer spacing is large. Out-of-phase fluctuations of the…

凝聚态物理 · 物理学 2009-10-28 N. E. Bonesteel , I. A. McDonald , C. Nayak

We present a manifestly gauge invariant linear response theory for ultra-cold Fermi gases undergoing BCS-Bose-Einstein Condensation (BEC) crossover with pair fluctuation effect included, especially in the superfluid phase, by introducing an…

量子气体 · 物理学 2018-07-25 Yan He , Hao Guo
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