scholarly journals Gauge-field production during axion inflation in the gradient expansion formalism

2021 ◽  
Vol 104 (12) ◽  
Author(s):  
E. V. Gorbar ◽  
K. Schmitz ◽  
O. O. Sobol ◽  
S. I. Vilchinskii
Keyword(s):  
Gauge Field ◽  
Gradient Expansion ◽  
Field Production

scholarly journals Constraints on gauge field production during inflation

2014 ◽  
Vol 2014 (07) ◽  
pp. 012-012 ◽  
Author(s):  
Sami Nurmi ◽  
Martin S. Sloth
Keyword(s):  
Gauge Field ◽  
Field Production

scholarly journals Covariant chiral kinetic equation in non-Abelian gauge field from “covariant gradient expansion”

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Xiao-Li Luo ◽  
Jian-Hua Gao
Keyword(s):  
Kinetic Equation ◽  
Phase Space ◽  
Gauge Field ◽  
Wigner Function ◽  
Distribution Functions ◽  
Space Distribution ◽  
Abelian Gauge ◽  
Gradient Expansion ◽  
Phase Space Distribution ◽  
Chiral Magnetic Effect

Abstract We derive the chiral kinetic equation in 8 dimensional phase space in non- Abelian SU(N) gauge field within the Wigner function formalism. By using the “covariant gradient expansion”, we disentangle the Wigner equations in four-vector space up to the first order and find that only the time-like component of the chiral Wigner function is independent while other components can be explicit derivative. After further decomposing the Wigner function or equations in color space, we present the non-Abelian covariant chiral kinetic equation for the color singlet and multiplet phase-space distribution functions. These phase-space distribution functions have non-trivial Lorentz transformation rules when we define them in different reference frames. The chiral anomaly from non-Abelian gauge field arises naturally from the Berry monopole in Euclidian momentum space in the vacuum or Dirac sea contribution. The anomalous currents as non-Abelian counterparts of chiral magnetic effect and chiral vortical effect have also been derived from the non-Abelian chiral kinetic equation.

scholarly journals Observational constraints on gauge field production in axion inflation

2013 ◽  
Vol 2013 (02) ◽  
pp. 017-017 ◽  
Author(s):  
P.D Meerburg ◽  
E Pajer
Keyword(s):  
Gauge Field ◽  
Observational Constraints ◽  
Field Production

scholarly journals Gauge field production in supergravity inflation: Local non-Gaussianity and primordial black holes

2013 ◽  
Vol 87 (10) ◽  
Author(s):  
Andrei Linde ◽  
Sander Mooij ◽  
Enrico Pajer
Keyword(s):  
Black Holes ◽  
Gauge Field ◽  
Primordial Black Holes ◽  
Field Production

scholarly journals Observable non-Gaussianity from gauge field production in slow roll inflation, and a challenging connection with magnetogenesis

2012 ◽  
Vol 85 (12) ◽  
Author(s):  
Neil Barnaby ◽  
Ryo Namba ◽  
Marco Peloso
Keyword(s):  
Gauge Field ◽  
Slow Roll ◽  
Field Production ◽  
Slow Roll Inflation

scholarly journals Axion inflation with gauge field production and primordial black holes

2014 ◽  
Vol 90 (10) ◽  
Author(s):  
Edgar Bugaev ◽  
Peter Klimai
Keyword(s):  
Black Holes ◽  
Gauge Field ◽  
Primordial Black Holes ◽  
Field Production

scholarly journals Baryogenesis via gauge field production from a relaxing Higgs

2021 ◽  
Vol 2021 (07) ◽  
pp. 049
Author(s):  
Yann Cado ◽  
Benedict von Harling ◽  
Eduard Massó ◽  
Mariano Quirós
Keyword(s):  
Gauge Field ◽  
Field Production

Riemann–Weyl in Deleuze's Bergsonism and the Constitution of the Contemporary Physico-Mathematical Space

2015 ◽  
Vol 9 (1) ◽  
pp. 59-87 ◽  
Author(s):  
Martin Calamari
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Fibre Bundle ◽  
History Of Mathematics ◽  
Gauge Field Theory ◽  
Contemporary Science ◽  
Explicit Mention ◽  
History Of ◽  
Key Features ◽  
Bernhard Riemann

In recent years, the ideas of the mathematician Bernhard Riemann (1826–66) have come to the fore as one of Deleuze's principal sources of inspiration in regard to his engagements with mathematics, and the history of mathematics. Nevertheless, some relevant aspects and implications of Deleuze's philosophical reception and appropriation of Riemann's thought remain unexplored. In the first part of the paper I will begin by reconsidering the first explicit mention of Riemann in Deleuze's work, namely, in the second chapter of Bergsonism (1966). In this context, as I intend to show first, Deleuze's synthesis of some key features of the Riemannian theory of multiplicities (manifolds) is entirely dependent, both textually and conceptually, on his reading of another prominent figure in the history of mathematics: Hermann Weyl (1885–1955). This aspect has been largely underestimated, if not entirely neglected. However, as I attempt to bring out in the second part of the paper, reframing the understanding of Deleuze's philosophical engagement with Riemann's mathematics through the Riemann–Weyl conjunction can allow us to disclose some unexplored aspects of Deleuze's further elaboration of his theory of multiplicities (rhizomatic multiplicities, smooth spaces) and profound confrontation with contemporary science (fibre bundle topology and gauge field theory). This finally permits delineation of a correlation between Deleuze's plane of immanence and the contemporary physico-mathematical space of fundamental interactions.

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