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19922019
most citedExact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations

361 citations · 1.5k across the 34 of their papers we have counts for

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hep-th2016★ 9 cited

On the Physics of the Minimal Length: The Question of Gauge Invariance

Lay Nam Chang, Djordje Minic, Ahmed Roman +2

In this note we discuss the question of gauge invariance in the presence of a minimal length. This contribution is prepared for the celebration of the 60th anniversary of the Yang-…

hep-th2011★ 50 cited

On the Minimal Length Uncertainty Relation and the Foundations of String Theory

Lay Nam Chang, Zachary Lewis, Djordje Minic +1

We review our work on the minimal length uncertainty relation as suggested by perturbative string theory. We discuss simple phenomenological implications of the minimal length unce…

hep-th2010★ 24 cited

Quantum Gravity, Dynamical Energy-Momentum Space and Vacuum Energy

Lay Nam Chang, Djordje Minic, Tatsu Takeuchi

We argue that the combination of the principles of quantum theory and general relativity allow for a dynamical energy-momentum space. We discuss the freezing of vacuum energy in su…

hep-th2005★ 169 cited

Hydrogen-atom spectrum under a minimal-length hypothesis

Sandor Benczik, Lay Nam Chang, Djordje Minic +1

The energy spectrum of the Coulomb potential with minimal length commutation relations is determined both numerically and perturb…

hep-th2004★ 5 cited

Some Consequences of the Hypothesis of Minimal Lengths

Lay Nam Chang

Talk presented at the 3rd International Symposium on Quantum Theory and Symmetries, September 13, 2003, University of Cincinnati, OH. Dedicated to the memory of Freydoon Mansouri.

hep-th2003★ 7 cited

Massive torsion modes, chiral gravity, and the Adler-Bell-Jackiw anomaly

Lay Nam Chang, Chopin Soo

Regularization of quantum field theories introduces a mass scale which breaks axial rotational and scaling invariances. We demonstrate from first principles that axial torsion and…

hep-th2002★ 11 cited

Classical Implications of the Minimal Length Uncertainty Relation

Sandor Benczik, Lay Nam Chang, Djordje Minic +3

We study the phenomenological implications of the classical limit of the "stringy" commutation relations [x_i,p_j]=i hbar[(1+beta p^2) delta_{ij} + beta' p_i p_j]. In particular, w…

hep-th2002★ 237 cited

Short Distance vs. Long Distance Physics: The Classical Limit of the Minimal Length Uncertainty Relation

Sandor Benczik, Lay Nam Chang, Djordje Minic +3

We continue our investigation of the phenomenological implications of the "deformed" commutation relations [x_i,p_j]=i hbar[(1 + beta p^2) delta_{ij} + beta' p_i p_j]. These commut…

hep-th2002★ 356 cited

The Effect of the Minimal Length Uncertainty Relation on the Density of States and the Cosmological Constant Problem

Lay Nam Chang, Djordje Minic, Naotoshi Okamura +1

We investigate the effect of the minimal length uncertainty relation, motivated by perturbative string theory, on the density of states in momentum space. The relation is implement…

hep-th2001★ 361 cited

Exact Solution of the Harmonic Oscillator in Arbitrary Dimensions with Minimal Length Uncertainty Relations

Lay Nam Chang, Djordje Minic, Naotoshi Okamura +1

We determine the energy eigenvalues and eigenfunctions of the harmonic oscillator where the coordinates and momenta are assumed to obey the modified commutation relations [x_i,p_j]…

hep-th1999★ 3 cited

Massive torsion modes from Adler-Bell-Jackiw and scaling anomalies

Lay Nam Chang, Chopin Soo

Regularization of quantum field theories introduces a mass scale which breaks axial rotational and scaling invariances. We demonstrate from first principles that axial torsion and…

hep-th1997★ 2 cited

The Weyl Theory of Fundamental Interactions: Is CPT violated?

Chopin Soo, Lay Nam Chang

We compare the conventional description of the interaction of matter with the four known forces in the standard model with an alternative Weyl description in which the chiral coupl…

hep-th1996★ 6 cited

Invariant Regularization of Anomaly-Free Chiral Theories

Lay Nam Chang, Chopin Soo

We present a generalization of the Frolov-Slavnov invariant regularization scheme for chiral fermion theories in curved spacetimes. local gauge symmetries of the theory, including…

hep-th1994★ 5 cited

Chiral fermions, Gravity and GUTs

Lay Nam Chang, Chopin Soo

We discuss a global anomaly associated with the coupling of chiral Weyl fermions to gravity. The Standard Model based upon which has 15 fermions…

hep-th1994★ 18 cited

The Standard Model with gravity couplings

Lay Nam Chang, Chopin Soo

In this paper, we examine the coupling of matter fields to gravity within the framework of the Standard Model of particle physics. The coupling is described in terms of Weyl fermio…

hep-th1992★ 3 cited

Einstein manifolds in Ashtekar variables: explicit examples

Lay Nam Chang, Chopin Soo

We show that all solutions to the vacuum Einstein field equations may be mapped to instanton configurations of the Ashtekar variables. These solutions are characterized by properti…

hep-th1992★ 25 cited

Brst Cohomology and Invariants of 4D Gravity in Ashtekar Variables

Lay Nam Chang, Chopin Soo

We discuss the BRST cohomologies of the invariants associated with the description of classical and quantum gravity in four dimensions, using the Ashtekar variables. These invarian…