A new approach to non-commutative U
                    <sub>⋆</sub>
                    (N) gauge fields

Blaschke, Daniel N.

doi:10.1209/0295-5075/91/11001

Cited by 17 publications

(27 citation statements)

References 49 publications

(143 reference statements)

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“…Applying these relations to the U m 's, (3.55) implies that (3.54) automatically vanishes whenever m = l in view of U N (t N q ) = 0. When m = l, we compute 57) where the second equality in (3.57) stems from the relation 58) and T N (x) denotes the N -th order Chebyshev polynomial of first kind [79]. By further using T N (cos θ) = cos(N θ) in (3.57), we finally arrive at…”

Section: Jhep09(2013)051mentioning

confidence: 99%

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

Martinetti

Vitale

Wallet

2013

J. High Energ. Phys.

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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 generates non local matrix models with polynomial interaction terms. For a particular vacuum, we can invert the kinetic operator which is related to a Jacobi operator. The resulting propagator can be expressed in terms of Chebyschev polynomials of second kind. We show that non vanishing correlations exist at large separations. General considerations on the kinetic operators stemming from the other class of symmetric vacua, indicate that only one class of symmetric vacua should lead to fast decaying propagators. The quantum stability of the vacuum is briefly discussed.

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Section: Jhep09(2013)051mentioning

confidence: 99%

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

Martinetti

Vitale

Wallet

2013

J. High Energ. Phys.

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“…Global coke capacity is estimated at over 679 million tons in 2008, and it will grow by 25 % till 2017. Detailed coke production perspective set for 2017 is given in Ozga-Blaschke et al (2008). Polish coke plants have the total capacity of 11 million tons of coke annually.…”

Section: Introductionmentioning

confidence: 99%

Life cycle inventory processes of the integrated steel plant (ISP) in Krakow, Poland—coke production, a case study

Bieda

Grzesik

Sala

et al. 2015

Int J Life Cycle Assess

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Purpose The goal of this paper is to describe the life cycle inventory (LCI) approach to the cokemaking process in the Integrated Steel Plant's Coke Oven Battery (ISPCOB) in Kraków, Poland. The system boundaries were labeled as gate-to-gate, covering the full chain process of coke production. The background input and output data from the coke production process (CPP) has been inventoried. Methods The functional unit (FU) was produced of 1 Mg of the coke in ISPCOB. The following inputs and outputs have been taken into account in the LCI study: product (coke), all intermediate products, by-products, and emissions. Raw fuel mining and means of external transportation of natural gas, manufacture of downstream products, their use, end of life, and infrastructure were not included. Time coverage is 2004, because since 2005, robust inventory data coverage of full ISP coke processes are lacking. Data used for inventory calculation are affected by uncertainty.Results and discussion With regard to 1 Mg of coke produced in ISPCOB in 2004, the consumption of coke coal and coke oven gas amounted to 1.35 Mg and 195 m 3 , respectively. The main materials, fuels, and energy used for the coke production were electric energy, steam, air, heat, and industrial water. Emissions of SO 2 , NO 2 , CO, CO 2 , NH 3 , aliphatic hydrocarbons, HCN, H 2 S,

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“…The latter was implemented for the scalar field theory in [13]. Several generalizations were studied for the gauge fields, for example models defined in [33,34] and [36,37]; however, the complexity of the actions prevented the complete analysis so it remains unclear which nonlocal operators could render the gauge theory renormalizable. Our present result shows that −1 terms appear in quantization even in a local version of gauge theory.…”

Section: Discussionmentioning

confidence: 99%

One-loop structure of the U(1) gauge model on the truncated Heisenberg space

2016

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We calculate divergent one-loop corrections to the propagators of the U (1) gauge theory on the truncated Heisenberg space, which is one of the extensions of the Grosse-Wulkenhaar model. The model is purely geometric, based on the Yang-Mills action; the corresponding gaugefixed theory is BRST invariant. We quantize perturbatively and, along with the usual wave-function and mass renormalizations, we find divergent nonlocal terms of the −1 and −2 type. We discuss the meaning of these terms and possible improvements of the model.

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A new approach to non-commutative U _⋆ (N) gauge fields

Cited by 17 publications

References 49 publications

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

Life cycle inventory processes of the integrated steel plant (ISP) in Krakow, Poland—coke production, a case study

One-loop structure of the U(1) gauge model on the truncated Heisenberg space

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A new approach to non-commutative U ⋆ (N) gauge fields

Cited by 17 publications

References 49 publications

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

Life cycle inventory processes of the integrated steel plant (ISP) in Krakow, Poland—coke production, a case study

One-loop structure of the U(1) gauge model on the truncated Heisenberg space

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A new approach to non-commutative U _⋆ (N) gauge fields