... manifold of dimension for Riemann surfaces of genus . Moreover, these irreducible solutions are uniquely determined by their Higgs pair up to unitary gauge transformations. From this perspective, is a holomorphic End -valued 1-form for the holomorphic vector bundle...

... FOR THE COHOMOLOGY RING OF THE MODULI SPACE OF RANK 2 HIGGS BUNDLES TAMAAS#19; HAUSEL AND MICHAEL THADDEUS A central object of study in gauge theory is the moduli space of unitary at connections...

...The epilogue connects the history of the vacuum in the twentieth century preceding chapters to twenty-first century vacuum physics. It considers topics including the following: the new gravitational wave astronomy; the Casimir effect and quantum optics; the experimental measurement of the Higgs...

... for the diagram to violate CP. The scalar sector of the standard model (SM) consists of only one doublet with weak hypercharge Y = 1/2. Most extensions of the SM include an enlargement of the Higgs sector. There are many theoretical motivations to enlarge the scalar sector of the standard...

...Maciej Dunajski, Oxford University Press. © Maciej Dunajski (2024). DOI: 10.1093/oso/9780198872535.003.0009 In this chapter we describe vortices which are the solitons in the Abelian Higgs model. We focus on the vortices at the critical coupling which arise as solutions to the Taubes equation...

... Research China Circular Electron Positron Collider CEPC China Colliders Compact Linear Collider CLIC CERN Future Circular Collider FCC Future Circular Collider electrons FCC ee Future Circular Collider hadrons FCC hh Higgs boson Higgs factory ILC International Linear Collider Japan Japan Large...

... collaboration amongst nations with diverse cultural, political, and economic settings has been ongoing for many years. Asia geopolitical factors Higgs boson LHC Large Hadron Collider Standard Model SM of Particle Physics C3 linear e e collider CERN European Organisation for Nuclear Research China...

...The theory of Higgs bundles, pioneered by Hitchin and Simpson, provides an analytic approach to studying surface group representations and their deformation space. This chapter describes the basic examples of this theory, emphasizing relations to deformation and rigidity of geometric structures...

...This chapter examines SUSY gauge theories. First, it looks at the role of quantum loop corrections on running couplings and masses. It then studies the space of possible vacua (the moduli space), and finally the super Higgs mechanism. There are exercises at the end of the chapter. antifundamental...

...-trivial problem. Some general properties of the non-Abelian Higgs mechanism are described. gauge parallel transport connection covariant Yang–Mills field curvature tensor Hamiltonian formalism classical field equation temporal gauge Gauss’s law Faddeev–Popov ghosts stochastic Gribov’s...

... is calculated at leading order. As an introduction to the next chapter, the abelian Higgs mechanism is analyzed. Finally, the chapter comments about stochastic quantization of gauge theories. gauge theories vector field massive conserved current Feynman’s gauge gauges Landau’s gauge unitary gauge...

... can be regularized, a somewhat non-trivial problem. Finally, it discusses general aspects of the Higgs mechanism. gauge theories gauge transformations parallel transport connection covariant derivative gauge field gauge transformations infinitesimal Yang–Mills field curvature tensor gauge...

...This chapter describes the cohomology of Higgs isocrystals, which are introduced to replace the notion of Higgs bundles. The link between these two notions uses Higgs envelopes and calls to mind the link between classical crystals and modules with integrable connections. After discussing Higgs...

...This chapter presents the facsimile of Gerd Faltings' article entitled “A p-adic Simpson Correspondence,” reprinted from Advances in Mathematics 198(2), 2005. In this article, an equivalence between the category of Higgs bundles and that of “generalized...

... SU(2) × U(1). We show that the apparent difference in strength between the two interactions is due to the Brout–Englert–Higgs phenomenon which results in heavy intermediate vector bosons. The model is presented first for the leptons, and then we argue that the extension to hadrons requires...

... solar system, an enormous contingent event took place, one that left a planet on which life could arise, become intelligent, and figure out how lucky it was. Asphaug Erik Baldwin Ralph B Daly Reginald Dietz Robert Gilbert Grove Karl Higgs boson Ranger 7 Shoemaker Eugene Merle Urey Harold Clayton...

... superconductivity collective effects determination macrostates dispositions gauge symmetry universality bosons fermions multiple realizability Higgs Peter Higgs mechanism Weinberg Stephen Earman John Lyre Holger Smeenk Christopher Wen Xiao Gang Caudy William Elitzur’s theorem Friederich Simon...

... field theory and the fine tuning problem in the Higgs particle sector. quantum field theory renormalization group quantum electrodynamics electron self energy locality ultraviolet divergences Feynman diagram unitarity bare charge bare mass fine tuning Higgs boson regularization...

...The dialogue with physicist José Bernabéu firstly looks into why discovery of the Higgs boson has a spiritual dimension and is a great starting point for new discovery. It then moves on to discuss why CERN, the largest laboratory in the world, is the supreme symbol of an advanced Society...

... between stability and meta-stability, at least within the standard model, in light of the mass of the recently discovered Higgs boson. Standard model calculations mapping vacuum stability as a function of Higgs boson and top quark masses are presented. The dramatic unveiling of the Higgs boson signal...