scholarly journals The large proper-time expansion of Yang-Mills plasma as a resurgent transseries

2019 ◽  
Vol 2019 (2) ◽  
Author(s):  
Inês Aniceto ◽  
Jakub Jankowski ◽  
Ben Meiring ◽  
Michał Spaliński
Keyword(s):  
Proper Time ◽  
Yang Mills ◽  
Time Expansion

scholarly journals THE PROPER TIME FORMALISM, GAUGE INVARIANCE AND THE EFFECTS OF A FINITE WORLD SHEET CUTOFF IN STRING THEORY

1995 ◽  
Vol 10 (31) ◽  
pp. 4501-4519 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Gauge Transformation ◽  
Gauge Invariance ◽  
Proper Time ◽  
World Sheet ◽  
Massive Mode ◽  
Yang Mills ◽  
Previous Discussion ◽  
Time Formalism ◽  
Klein Gordon ◽  
Type Interaction

We discuss the issue of going off-shell in the proper time formalism. This is done by keeping a finite world sheet cutoff. We construct one example of an off-shell covariant Klein-Gordon type interaction. For a suitable choice of the gauge transformation of the scalar field, gauge invariance is maintained off-mass-shell. However, at the second order in the gauge field interaction, one finds that [U(1)] gauge invariance is violated due to the finite cutoff. Interestingly, we find, to the lowest order, that by adding a massive mode with appropriate gauge transformation laws to the sigma model background, we can restore gauge invariance. The gauge transformation law is found to be consistent, to the order calculated, with what one expects from the interacting equation of motion of the massive field. We also extend some previous discussion on applying the proper time formalism for propagating gauge particles, to the interacting (i.e. Yang-Mills) case.

Schwinger-DeWitt proper-time expansion and eikonal approximation

1985 ◽  
Vol 31 (4) ◽  
pp. 829-847
Author(s):  
S. K. Kim ◽  
Choonkyu Lee ◽  
D. P. Min
Keyword(s):  
Proper Time ◽  
Eikonal Approximation ◽  
Time Expansion

scholarly journals A COMPARISON OF THE PROPER-TIME EQUATION AND THE RENORMALIZATION GROUP β-FUNCTION IN STRING THEORY

1995 ◽  
Vol 10 (21) ◽  
pp. 1565-1575
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Proper Time ◽  
Equations Of Motion ◽  
Equation Of Motion ◽  
The Other ◽  
Proportionality Factor ◽  
Yang Mills ◽  
Higher Covariant Derivative ◽  
Full Equation ◽  
Gauge Covariance ◽  
Β Function

It is known that there is a proportionality factor relating the β-function and the equations of motion viz. the Zamolodchikov metric. Usually this factor has to be obtained by other methods. The proper-time equation, on the other hand, is the full equation of motion. We explain the reasons for this and illustrate it by calculating corrections to Maxwell’s equation. The corrections are calculated to cubic order in the field strength, but are exact to all orders in derivatives. We also test the gauge covariance of the proper-time method by calculating higher (covariant) derivative corrections to the Yang-Mills equation.

Proof of summed form of proper-time expansion for propagator in curved space-time

1985 ◽  
Vol 31 (10) ◽  
pp. 2439-2451 ◽  
Author(s):  
Ian Jack ◽  
Leonard Parker
Keyword(s):  
Proper Time ◽  
Space Time ◽  
Curved Space ◽  
Time Expansion

scholarly journals Latent heat and pressure gap at the first order deconfining phase transition of SU(3) Yang-Mills theory using the small flow-time expansion method

2020 ◽  
Author(s):  
Mizuki Shirogane ◽  
Shinji Ejiri ◽  
Ryo Iwami ◽  
Kazuyuki Kanaya ◽  
Masakiyo Kitazawa ◽  
...  
Keyword(s):  
Phase Transition ◽  
Energy Density ◽  
Latent Heat ◽  
Flow Time ◽  
Yang Mills ◽  
First Order ◽  
Pressure Gap ◽  
Small Flow ◽  
Time Expansion ◽  
The Continuum

Abstract We study latent heat and pressure gap between the hot and cold phases at the first order deconfining phase transition temperature of the SU(3) Yang-Mills theory. Performing simulations on lattices with various spatial volumes and lattice spacings, we calculate the gaps of the energy density and pressure using the small flow time expansion (SFtX) method. We find that the latent heat Δ ε in the continuum limit is Δ ε /T4 = 1.117 ± 0.040 for the aspect ratio Ns/Nt = 8 and 1.349 ± 0.038 for Ns/Nt = 6 at the transition temperature T = T c. We also confirm that the pressure gap is consistent with zero, as expected from the dynamical balance of two phases at Tc. From hysteresis curves of the energy density near Tc, we show that the energy density in the (metastable) deconfined phase is sensitive to the spatial volume, while that in the confined phase is insensitive. Furthermore, we examine the effect of alternative procedures in the SFtX method — the order of the continuum and the vanishing flow time extrapolations, and also the renormalization scale and higher order corrections in the matching coefficients. We confirm that the final results are all well consistent with each other for these alternatives.

scholarly journals SU(3) Yang Mills theory at small distances and fine lattices

2018 ◽  
Vol 175 ◽  
pp. 14024 ◽  
Author(s):  
Nikolai Husung ◽  
Mateusz Koren ◽  
Philipp Krah ◽  
Rainer Sommer
Keyword(s):  
Gradient Flow ◽  
Flow Time ◽  
Open Boundary ◽  
Static Force ◽  
Open Boundary Conditions ◽  
Yang Mills ◽  
Action Density ◽  
Small Flow ◽  
Time Expansion ◽  
Β Function

We investigate the SU(3) Yang Mills theory at small gradient flow time and at short distances. Lattice spacings down to a = 0.015 fm are simulated with open boundary conditions to allow topology to flow in and out. We study the behaviour of the action density E(t) close to the boundaries, the feasibility of the small flow-time expansion and the extraction of the Λ-parameter from the static force at small distances. For the latter, significant deviations from the 4-loop perturbative β-function are visible at α ≈ 0.2. We still can extrapolate to extract roΛ.

NEW FORM OF THE RENORMALIZATION COUNTERTERMS FOR A SCALAR FIELD

2002 ◽  
Vol 17 (06n07) ◽  
pp. 820-824 ◽  
Author(s):  
SERGEY V. SUSHKOV
Keyword(s):  
Scalar Field ◽  
Proper Time ◽  
Feynman Propagator ◽  
New Form ◽  
Time Expansion

We use the substitution m2 → M2(x) = m2 + ξR(x) to construct a new form of the proper-time expansion of the Feynman propagator and the corresponding form of the renormalization counterterms < ϕ2>DS and < Tμν > DS for the scalar field.

Geodesic motion around regular magnetic black hole in non-minimal Einstein–Yang–Mills theory

2017 ◽  
Vol 95 (11) ◽  
pp. 1062-1067 ◽  
Author(s):  
M. Azam ◽  
G. Abbas ◽  
S. Sumera
Keyword(s):  
Black Hole ◽  
Cosmological Constant ◽  
Effective Potential ◽  
Proper Time ◽  
Equations Of Motion ◽  
Turning Points ◽  
Geodesic Motion ◽  
Yang Mills ◽  
Time Distance ◽  
Distance Behavior

In this paper, we study the geodesic motion around a regular magnetic black hole in non-minimal Einstein–Yang–Mills theory with cosmological constant. For this purpose, we derive the equations of motion for massive and photon-like particles. Also, we plot these equations to compare the time–distance and proper-time–distance behavior for both the particles. To clarify the position and the turning points of the particles, effective potential has been plotted for massive and photon-like particles.

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