Ghost Busting: PT-Symmetric Interpretation of the Lee Model

The Lee model was introduced in the 1950s as an elementary quantum field theory in which mass, wave function, and charge renormalization could be carried out exactly. In early studies of this model it was found that there is a critical value of g^2, the square of the renormalized coupling constant, above which g_0^2, the square of the unrenormalized coupling constant, is negative. Thus, for g^2 larger than this critical value, the Hamiltonian of the Lee model becomes non-Hermitian. It was also discovered that in this non-Hermitian regime a new state appears whose norm is negative. This state is called a ghost state. It has always been assumed that in this ghost regime the Lee model is an unacceptable quantum theory because unitarity appears to be violated. However, in this regime while the Hamiltonian is not Hermitian, it does possess PT symmetry. It has recently been discovered that a non-Hermitian Hamiltonian having PT symmetry may define a quantum theory that is unitary. The proof of unitarity requires the construction of a new time-independent operator called C. In terms of C one can define a new inner product with respect to which the norms of the states in the Hilbert space are positive. Furthermore, it has been shown that time evolution in such a theory is unitary. In this paper the C operator for the Lee model in the ghost regime is constructed exactly in the V/N-theta sector. It is then shown that the ghost state has a positive norm and that the Lee model is an acceptable unitary quantum field theory for all values of g^2.Comment: 20 pages, 9 figure

Identification of Important Factors Affecting Use of Digital Individualised Coaching and Treatment of Type 2 Diabetes in General Practice: A Qualitative Feasibility Study

Most type 2 diabetes patients are treated in general practice and there is a need of developing and implementing efficient lifestyle interventions. eHealth interventions have shown to be effective in promoting a healthy lifestyle. The purpose of this study was to test the feasibility, including the identification of factors of importance, when offering digital lifestyle coaching to type 2 diabetes patients in general practice. We conducted a qualitative feasibility study with focus group interviews in four general practices. We identified two overall themes and four subthemes: (1) the distribution of roles and lifestyle interventions in general practice (subthemes: external and internal distribution of roles) and (2) the pros and cons for digital lifestyle interventions in general practice (subthemes: access to real life data and change in daily routines). We conclude that for digital lifestyle coaching to be feasible in a general practice setting, it was of great importance that the general practitioners and practice nurses knew the role and content of the intervention. In general, there was a positive attitude in the general practice setting towards referring type 2 diabetes patients to digital lifestyle intervention if it was easy to refer the patients and if easily understandable and accessible feedback was implemented into the electronic health record. It was important that the digital lifestyle intervention was flexible and offered healthcare providers in general practice an opportunity to follow the type 2 diabetes patient closely

A Performant, Misuse-Resistant API for Primality Testing

Primality testing is a basic cryptographic task. But developers today are faced with complex APIs for primality testing, along with documentation that fails to clearly state the reliability of the tests being performed. This leads to the APIs being incorrectly used in practice, with potentially disastrous consequences. In an effort to overcome this, we present a primality test having a simplest-possible API: the test accepts a number to be tested and returns a Boolean indicating whether the input was composite or probably prime. For all inputs, the output is guaranteed to be correct with probability at least 1 - 2-128. The test is performant: on random, odd, 1024-bit inputs, it is faster than the default test used in OpenSSL by 17%. We investigate the impact of our new test on the cost of random prime generation, a key use case for primality testing. The OpenSSL developers have adopted our suggestions in full; our new API and primality test are scheduled for release in OpenSSL 3.0

March 1955

Presidents Report - Frank P. Dunlap (page 1) The Student Purdue Serves - Dr. N. M. Parkhurst (2) A Student Reports - Bill Roach (4) Corrective Management of Shrubs - H. W. Gilbert (5) Nutrient Absorption by Plants - J. R. Watson Jr. (7) Disease Development is Slow - Dr. Wm. Klomparens (10) Poa Annua Control with Arsenic Materials - W. H. Daniel (11) Labor Relations - Cincinnati Country Club - John McCoy (14) Labor Policies at my Course - Ernest Schneider (15) Labor Policies at my Course - Don Strand (16) Nitrogen Use and Why - Robert M. Williams (17) Fertilizing Greens and Why - Don Likes(18) Nitrogen Use and Why - Lawrence Huber (20) Report on Experimental Green - Taylor Boyd (21) Experiences with Fairway Improvements - Ray Davis (23) Fairway Improvement Program - Bert Rost (24) Experiences on Merion Bluegrass - Carl Habenicht (24) Merion Bluegrass Experiences - P. E. Drachman (25) Zoysia for Lawns and Nurseries - P. E. Drachman (27) Preparation for Mortorized Carts - James W. Brandt (28) Preparing for Motorized Carts - Carl Bretzlaff (29) Merion Bluegrass Experiences - Ben O. Warren (31) Pennlu Distribution - W. H. Daniel(32) Zoysia for Midwest Lawns - W. H. Daniel (34) Crabgrass Prevention and Control - W. H. Daniel (36) Plant Carbohydrates Must Balance Nitrogen - M. R. Teel (39) Put Yourself in His Place - Fred Grau (40) Nitrogen Use and Why Wm. E. Lyons (45) The Management of Bentgrass Fairways - O. J. Noer (49) Fairway Improvement Program O. W. Young (52) Experiences with Zoysia - Ferank Dinelli (53