Faddeev-Jackiw quantization of the higher derivative Chern–Simons gauge theory in the first-order formalism

Abstract We perform large-scale real-time simulations of a bubble wall sweeping through an out-of-equilibrium plasma. The scenario we have in mind is the electroweak phase transition, which may be first order in extensions of the Standard Model, and produce such bubbles. The process may be responsible for baryogenesis and can generate a background of primordial cosmological gravitational waves. We study thermodynamic features of the plasma near the advancing wall, the generation of Chern-Simons number/Higgs winding number and consider the potential for CP-violation at the wall generating a baryon asymmetry. A number of technical details necessary for a proper numerical implementation are developed.

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DISCRETE AND CONTINUUM APPROACHES TO THREE-DIMENSIONAL QUANTUM GRAVITY

Modern Physics Letters A ◽

10.1142/s0217732391004140 ◽

1991 ◽

Vol 06 (39) ◽

pp. 3591-3600 ◽

Cited By ~ 40

Author(s):

HIROSI OOGURI ◽

NAOKI SASAKURA

Keyword(s):

Gauge Theory ◽

Moduli Space ◽

Three Dimensional ◽

Two Dimensional ◽

Analogue Model ◽

Gauge Invariant ◽

Invariant Functions ◽

Dimensional Lattice ◽

Chern Simons ◽

Dimensional Surface

It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface, which gives physical states in the ISO(3) Chern–Simons gauge theory. To prove this, we employ the q-analogue of this model defined by Turaev and Viro as a regularization to sum over states. A recent work by Turaev suggests that the q-analogue model itself may be related to an Euclidean gravity with a cosmological constant proportional to 1/k2, where q=e2πi/(k+2).

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Multi-Hamiltonian formulations and stability of higher-derivative extensions of 3d Chern–Simons

The European Physical Journal C ◽

10.1140/epjc/s10052-018-5601-y ◽

2018 ◽

Vol 78 (2) ◽

Cited By ~ 10

Author(s):

V. A. Abakumova ◽

D. S. Kaparulin ◽

S. L. Lyakhovich

Keyword(s):

Higher Derivative ◽

Chern Simons

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EQUIVALENCE OF TWO-DIMENSIONAL GRAVITIES

Modern Physics Letters A ◽

10.1142/s0217732390001414 ◽

1990 ◽

Vol 05 (16) ◽

pp. 1251-1258 ◽

Cited By ~ 4

Author(s):

NOUREDDINE MOHAMMEDI

Keyword(s):

Gauge Theory ◽

Explicit Solution ◽

Light Cone ◽

Equations Of Motion ◽

Two Dimensional ◽

Induced Gravity ◽

Light Cone Gauge ◽

Dimensional Gravity ◽

The Relationship ◽

Chern Simons

We find the relationship between the Jackiw-Teitelboim model of two-dimensional gravity and the SL (2, R) induced gravity. These are shown to be related to a two-dimensional gauge theory obtained by dimensionally reducing the Chern-Simons action of the 2+1 dimensional gravity. We present an explicit solution to the equations of motion of the auxiliary field of the Jackiw-Teitelboim model in the light-cone gauge. A renormalization of the cosmological constant is also given.

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REMARKS ON A CHERN–SIMONS-LIKE COUPLING

Modern Physics Letters A ◽

10.1142/s0217732311037121 ◽

2011 ◽

Vol 26 (37) ◽

pp. 2813-2821

Author(s):

PATRICIO GAETE

Keyword(s):

Gauge Theory ◽

Vector Field ◽

Static Potential ◽

Gauge Invariant ◽

Massive Vector ◽

Hidden Sector ◽

Dependent Variables ◽

Qualitative Nature ◽

Path Dependent ◽

Chern Simons

We consider the static quantum potential for a gauge theory which includes a light massive vector field interacting with the familiar U (1) QED photon via a Chern–Simons-like coupling, by using the gauge-invariant, but path-dependent, variables formalism. An exactly screening phase is then obtained, which displays a marked departure of a qualitative nature from massive axionic electrodynamics. The above static potential profile is similar to that encountered in axionic electrodynamics consisting of a massless axion-like field, as well as to that encountered in the coupling between the familiar U (1) QED photon and a second massive gauge field living in the so-called U (1)h hidden-sector, inside a superconducting box.

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Composing effective prediction at five points

Journal of High Energy Physics ◽

10.1007/jhep06(2021)169 ◽

2021 ◽

Vol 2021 (6) ◽

Author(s):

John Joseph M. Carrasco ◽

Laurentiu Rodina ◽

Suna Zekioğlu

Keyword(s):

Gauge Theory ◽

Scattering Amplitude ◽

Building Blocks ◽

Tree Level ◽

Critical Aspect ◽

Higher Derivative ◽

Higher Dimensional ◽

Single Trace ◽

The Relationship ◽

Double Copy

Abstract Color-kinematics duality in the adjoint has proven key to the relationship between gauge and gravity theory scattering amplitude predictions. In recent work, we demonstrated that at four-point tree-level, a small number of color-dual EFT building blocks could encode all higher-derivative single-trace massless corrections to gauge and gravity theories compatible with adjoint double-copy. One critical aspect was the trivialization of building higher-derivative color-weights — indeed, it is the mixing of kinematics with non-adjoint-type color-weights (like the permutation-invariant d4) which permits description via adjoint double-copy. Here we find that such ideas clarify the predictions of local five-point higher-dimensional operators as well. We demonstrate how a single scalar building block can be combined with color structures to build higher-derivative color factors that generate, through double copy, the amplitudes associated with higher-derivative gauge-theory operators. These may then be suitably mapped, through another double-copy, to higher-derivative corrections in gravity.

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