Browsing by Author "Alfaro Solis, Jorge Luis"

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    Feynman Rules, Ward Identities and Loop Corrections in Very Special Relativity Standard Model
    (2019) Alfaro Solis, Jorge Luis
    In this paper, we want to study one loop corrections in Very Special Relativity Standard Model(VSRSM). In order to satisfy the Ward identities and the 𝑆𝑖𝑚(2) symmetry of the model, we have to specify the Feynman rules, including the infrared regulator. To do this, we adapt the Mandelstam–Leibbrandt (ML) prescription to incorporate external momentum-dependent null vectors. As an example, we use the new 𝑆𝑖𝑚(2) invariant dimensional regularization to compute one loop corrections to the effective action in the subsector of the VSRSM that describe the interaction of photons with charged leptons. New stringent bounds for the masses of 𝜈𝑒 and 𝜈𝜇 are obtained
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    δ Gravity: Dark Sector, Post-Newtonian Limit and Schwarzschild Solution
    (2019) Alfaro Solis, Jorge Luis; González, Pablo
    We present a new kind of model, which we call 𝛿 Theories, where standard theories are modified including new fields, motivated by an additional symmetry (𝛿 symmetry). In previous works, we proved that 𝛿 Theories just live at one loop, so the model in a quantum level can be interesting. In the gravitational case, we have 𝛿 Gravity, based on two symmetric tensors, 𝑔𝜇𝜈 and 𝑔˜𝜇𝜈, where quantum corrections can be controlled. In this paper, a review of the classical limit of 𝛿 Gravity in a Cosmological level will be developed, where we explain the accelerated expansion of the universe without Dark Energy and the rotation velocity of galaxies by the Dark Matter effect. Additionally, we will introduce other phenomenon with 𝛿 Gravity like the deflection of the light produced by the sun, the perihelion precession, Black Holes and the Cosmological Inflation