Essays about: "Gauge integral"

Showing result 1 - 5 of 8 essays containing the words Gauge integral.

  1. 1. Gribov ambiguities in non-Abelian gauge theories

    University essay from Lunds universitet/Teoretisk partikelfysik - Geonomgår omorganisation

    Author : Fredrik Granström; [2021]
    Keywords : Physics and Astronomy;

    Abstract : This thesis investigates the quantization of field theories using the functional integral formalism. Gauge invariance necessitates a gauge-fixing procedure that chooses a unique field configuration from each gauge orbit. READ MORE

  3. 2. The Henstock–Kurzweil Integral

    University essay from Linköpings universitet/Matematik och tillämpad matematik; Linköpings universitet/Tekniska fakulteten

    Author : Manolis David; [2020]
    Keywords : Henstock–Kurzweil integral; generalized Riemann integral; gauge integral; Denjoy–Perron integral; narrow Denjoy integral; Perron integral; non-absolute integration; Lebesgue outer measure; absolute integrability; fundamental theorem of calculus; convergence theorems; single variable calculus;

    Abstract : Since the introduction of the Riemann integral in the middle of the nineteenth century, integration theory has been subject to significant breakthroughs on a relatively frequent basis. We have now reached a point where integration theory has been thoroughly researched to a point where one has to delve quite deep into a particular subject in order to encounter open conjectures. READ MORE

  4. 3. A Study of Abelian Dualities in 2+1 Dimensions

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Xiaoyi Jing; [2019]
    Keywords : Chern-Simons; Duality; IR Fixed Point; Monopole;

    Abstract : It is well-known that in 2 + 1 dimensions the flux attachment transmutes the statistics of a particle.The aim of this master thesis is to study the dualities between bosons and fermions induced by Abeliantopological gauge fields in 2 + 1 dimensions. READ MORE

  5. 4. Supersymmetric Quantum Mechanics, Index Theorems and Equivariant Cohomology

    University essay from Uppsala universitet/Teoretisk fysik

    Author : Hans Nguyen; [2018]
    Keywords : supersymmetry; SUSY; quantum mechanics; index theorem; path integral; non-linear sigma model; spin complex; Chern-Gauss-Bonnet theorem; Witten index; equivariant cohomology; Weil model; Cartan model;

    Abstract : In this thesis, we investigate supersymmetric quantum mechanics (SUSYQM) and its relation to index theorems and equivariant cohomology. We define some basic constructions on super vector spaces in order to set the language for the rest of the thesis. READ MORE

  6. 5. On the fundamental theorem of calculus

    University essay from Umeå universitet/Institutionen för matematik och matematisk statistik

    Author : Jesper Singh; [2015]
    Keywords : Fundamental theorem of calculus; Gauge integral; Riemann integral;

    Abstract : The Riemann integral has many flaws, some that becomes visible in the fundamental theorem of calculus. The main point of this essay is to introduce the gauge integral, and prove a much more suitable version of that theorem. .. READ MORE