Results 1 to 10 of about 85,652 (254)
Class Formations and Higher Dimensional Local Class Field Theory
Journal of Number Theory, 1997 Let \(K\) be an \(n\)-local field, \(K^M_n(K)\) the \(n\)-th Milnor \(K\)-group of \(K\). Furthermore, let \(G_K^{ab}\) be the Galois group of the maximal abelian extension of \(K\). The reciprocity map is a canonical homomorphism from \(K_n^M(K)\) in \(G_K^{ab}\) which for every finite abelian extension \(L/K\) induces an isomorphism \(K_n^M(K)/ N_{L ...
Michael Spiess
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Local class field theory is easy
Advances in Mathematics, 1975 Let K be a local field with finite residue field. For the purposes of this paper, “local class field theory” consists of the (more or less) explicit description of the maximal abelian extension Kab of K, of the calculation of the galois group Gal(K,,/K); i.e., the proof that Gal(KJK) N K*, the completion of K* with respect to the topology given by the ...
Michiel Hazewinkel
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Class field theory for curves over local fields
Journal of Number Theory, 1985 Let \(X\) be a smooth projective geometrically irreducible curve over a local field \(k\). The purpose of this paper is to develop unramified class theory for \(X\), i.e. to try to approximate the abelian fundamental group \(\pi_ 1^{ab}(X)\) which controls the abelian étale covers of \(X\) by means of some group defined ``downstairs''. \textit{S. Bloch}
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Finiteness theorems in the class field theory of varieties over local fields
Journal of Number Theory, 2003 Let \(K\) be a finite extension of \({\mathbb Q}_p\) or of \({\mathbb F}_{p}((T))\) (\(p\) prime), and let \(X\) be a smooth proper absolutely connected \(K\)-variety. Denote by \(\varpi_1(X)\) the maximal commutative quotient of the profinite group \(\pi_1(X)\), the étale fundamental group of \(X\).
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Diluted mass gap in strongly coupled non-local Yang-Mills
Journal of High Energy Physics, 2021 We investigate the non-perturbative regimes in the class of non-Abelian theories that have been proposed as an ultraviolet completion of 4-D Quantum Field Theory (QFT) generalizing the kinetic energy operators to an infinite series of higher-order ...
Marco Frasca, Anish Ghoshal
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General Fractional Noether Theorem and Non-Holonomic Action Principle
Mathematics, 2023 Using general fractional calculus (GFC) of the Luchko form and non-holonomic variational equations of Sedov type, generalizations of the standard action principle and first Noether theorem are proposed and proved for non-local (general fractional) non ...
Vasily E. Tarasov
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Journal of High Energy Physics, 2023 It has recently been argued that half degrees of freedom could emerge in Lorentz and parity invariant field theories, using a non-linear Proca field theory dubbed Proca-Nuevo as a specific example.
Claudia de Rham +4 more
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A class of static spherically symmetric solutions in f(Q)-gravity
European Physical Journal C: Particles and Fields, 2023 We analyze a class of topological static spherically symmetric vacuum solutions in f(Q)-gravity. We considered an Ansatz ensuring that those solutions trivially satisfy the field equations of the theory when the non-metricity scalar is constant.
Marco Calzá, Lorenzo Sebastiani
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A pitfall in applying non-anticommuting $γ_5$ in $q\overline{q} \rightarrow ZH$ amplitudes
SciPost Physics Proceedings, 2022 In computing the two-loop QCD corrections to a class of Feynman diagrams for the process $q\overline{q} \rightarrow ZH$ in Higgs effective field theory, we discover a striking phenomenon.
Taushif Ahmed
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Injecting the UV into the bootstrap: Ising Field Theory
Journal of High Energy Physics, 2023 We merge together recent developments in the S-matrix bootstrap program to develop a dual setup in 2 space-time dimensions incorporating scattering amplitudes of massive particles and matrix elements of local operators.
Miguel Correia +2 more
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