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Showing 1 to 9 of 9 for “"Curved Spacetime"”.

  1. Solving the Dirac equation in a two-dimensional spacetime background with a kink

    … following paper, I study the Dirac equation in curved spacetime and solve this equation in two-dimensional spacetime backgrounds discovered by Jackiw et al[4], [5]. I will first discuss flat spacetime and introduce the Dirac equation, which describes the relativistic wavefunctions of spin-1/2 …

    mit Repository record for Solving the Dirac equation in a two-dimensional spacetime background with a kink (opens in a new tab)

  2. Cyclic universes & direct detection of cosmic expansion by holonomy in the McVittie spacetime

    … transfer of a vector around a closed loop in a curved spacetime. Generally, expansion would cause a measurable deficit angle between the vector’s initial and final positions. Using the McVittie spacetime (which describes a spherically symmetric object in an expanding universe) as a backdrop to …

    cape-town Repository record for Cyclic universes & direct detection of cosmic expansion by holonomy in the McVittie spacetime (opens in a new tab)

  3. Perturbative Quantum Gravity and Yang-Mills Theories in de Sitter Spacetime

    … theories and perturbative quantum gravity in curved spacetime. In the second part we calculate the Feynman propagators of the Faddeev- Popov ghosts for Yang-Mills theories and perturbative quantum gravity in the covariant gauge. In the third part we investigate the physical equivalence of …

    whiterose Repository record for Perturbative Quantum Gravity and Yang-Mills Theories in de Sitter Spacetime (opens in a new tab)

  4. From Measure Zero to Measure Hero: Periodic Kerr Orbits and Gravitational Wave Physics

    … the most fundamental prediction of a theory of curved spacetime - looms close at hand. Stellar mass compact objects spiraling into supermassive black holes have received particular attention as sources of gravitational waves detectable by space-based gravitational wave observatories. A …

    columbia-diss Repository record for From Measure Zero to Measure Hero: Periodic Kerr Orbits and Gravitational Wave Physics (opens in a new tab)

  5. Paracausal deformations, M{\o}ller operators, and Hadamard states in CCR AQFT.

    … and algebraic quantum field theories in curved spacetime. In particular, the main question is: how do the theories change under finite global variations of the spacetime metric tensor? To answer this question a new deformation tool, the paracausal deformation, is developed and studied on …

    trento Repository record for Paracausal deformations, M{\o}ller operators, and Hadamard states in CCR AQFT. (opens in a new tab)

  6. Gyroscropes Orbiting Gargantuan Black Holes: Spinning Secondaries in Extreme Mass Ratio Inspirals

    … a geodesic of the more massive black hole's spacetime. Post-geodesic effects are needed to model the system accurately. Failure to incorporate these effects can introduce bias in tests of general relativity and compromise precision measurement of the larger black hole's properties. One very …

    mit Repository record for Gyroscropes Orbiting Gargantuan Black Holes: Spinning Secondaries in Extreme Mass Ratio Inspirals (opens in a new tab)

  7. Quantum Fields on BTZ Black Holes

    … specifically, we study how a ground state in AdS spacetime becomes a thermal state when restricted to the exterior region of the BTZ black hole. This ground state is for the quantum linear real scalar field which satisfies the Klein-Gordon equation and also, in the 1+2 dimensional case, for a …

    whiterose Repository record for Quantum Fields on BTZ Black Holes (opens in a new tab)

  8. On the parallels between the Maxwell and Dirac equations

    … Dirac equations. Within this new framework, the spacetime itself is a second--order covariant or contravariant spinor. Furthermore, the electronic field is naturally identified as a spinor (first--order spinor), whereas the electromagnetic field emerges as a second--order mixed spinor. We further …

    exeter

  9. Understanding quantum anomalies

    Submission original under an indefinite embargo labeled 'Open Access'. The submission was exported from vireo on 2025-02-04 without embargo terms

    uiuc Repository record for Understanding quantum anomalies (opens in a new tab)