13 Result(s)
within
Jean-Christophe Wallet
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Open AccessGauge theory on ρ-Minkowski space-time
We construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination o...
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Open AccessField theories on ρ-deformed Minkowski space-time
We study one-loop perturbative properties of scalar field theories on the ρ-Minkowski space. The corresponding star-product, together with the involution are characterized from a combination of Weyl quantization ...
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Open AccessSingle extra dimension from κ-Poincaré and gauge invariance
We show that κ-Poincaré invariant gauge theories on κ-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the action fixes the dimension of t...
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Open AccessGauge theories on κ-Minkowski spaces: twist and modular operators
We discuss the construction of κ-Poincaré invariant actions for gauge theories on κ-Minkowski spaces. We consider various classes of untwisted and (bi)twisted differential calculi. Starting from a natural class o...
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Open Accessκ-Poincaré invariant orientable field theories at one-loop
We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ† alternate in the quartic interaction, and ...
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Open AccessInvolutive representations of coordinate algebras and quantum spaces
We show that s u 2 ...
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Open AccessClosed star product on noncommutative ℝ 3 and scalar field dynamics
We consider the noncommutative space ℝ θ 3 , a deformation of ℝ ...
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Open AccessNoncommutative gauge theories on \( {\mathrm{\mathbb{R}}}_{\uplambda}^3 \) : perturbatively finite models
We show that natural noncommutative gauge theory models on ℝ ...
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Open AccessAddendum: Noncommutative field theories on ℝ λ 3 : towards UV/IR mixing freedom
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Open AccessNoncommutative gauge theories on \( \mathbb{R}_{\theta}^2 \) as matrix models
We study a class of noncommutative gauge theory models on 2-dimensional Moyal space from the viewpoint of matrix models and explore some related properties. Expanding the action around symmetric vacua generate...
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Open AccessSlavnov-Taylor identities, non-commutative gauge theories and infrared divergences
In this work we clarify some properties of the one-loop IR divergences in nonAbelian gauge field theories on non-commutative 4-dimensional Moyal space. Additionally, we derive the tree-level Slavnov-Taylor ide...
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Open AccessNoncommutative field theories on \( \mathbb{R}_{\lambda}^3 \) : towards UV/IR mixing freedom
We consider the noncommutative space \( \mathbb{R}_{\lambda}^3 \) , a deformation of the algebra of functions on
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Scaling behavior in β-wave amplitude modulation and its relationship to alertness
We performed an experimental study of β waves occurring in human electroencephalographic signals obtained from six healthy subjects that were monitored during the performance of a task requiring attention to ...
