If a father is missing in a family the child will have physiological problems than if a mother is missing 

Researchers Ronald P. Rohner, Abdul Khaleque and David E. of Cournoyer of University of Connecticut found that children who has both mother and father in the home are well off developmentally but If a father is missing in a family the child will have physiological problems than if a mother is missing when children become older. “Father/paternal love explain a unique and independent portion of the variance in specific child outcomes over and above the portion explained by maternal love (Veneziano, 2003).”

Evidence from PARTheory research documents the fact that fathers' love-related behaviors often have as strong or even stronger implications for children's social-emotional development than do mothers' love-related behaviors. For example, fathers' love-related behavior (or the love-related behavior of other significant male caregivers) is often as strongly--or more so--associated with offspring's sense of health and well-being in childhood and later adulthood. Paternal (fathers') rejection, however, is sometimes more strongly associated than mothers' rejection with such negative developmental outcomes as depression and depressed affect, conduct problems and behavior disorders, and substance abuse, to mention but three outcomes.

Don't blame it all on mothers. The love of fathers and other important caregivers is, in many contexts, as important developmentally to children as that of mothers--and sometimes more so. http://www.cspar.uconn.edu/intro_partheory.html

They also found that http://pediatrics.aappublications.org/cgi/content/full/113/5/1406
Fathers positively influence the behavior and relationships of the mother or other parent, siblings, and other family members. For example, fathers play an important role in the initiation, support, continuation, and ultimate ongoing success of breastfeeding.29–35 Father involvement also stabilizes and promotes healthy family functioning. Fathers, as much as mothers, can and often do provide affection, nurturing, and comfort to their children. As teachers, disciplinarians, and role models, fathers assume some of the responsibility for teaching their children what they need to know for life-survival skills and for school learning. These lessons may come in the form of teaching about letters, numbers, and shapes; helping the school-aged child with homework; coaching the child in an athletic skill or hobby; teaching manners and social skills; and encouraging a healthy lifestyle. Rituals that involve special time with fathers, such as homework, play, sports activities, bathing routines, bedtime rituals, household chores, shopping, or reading together, also help strengthen the father-child bond. Such involvement may even prove to be protective. In families in which even mild levels of maternal depression exist, for example, a nurturing father-child relationship counteracts behavioral and interactional problems often associated with maternal depression.36–38

In families experiencing divorce, the relationships between father, mother, and children can become especially strained.46 Divorce affects children’s relationships with their parents and their sense of trust, acceptance, and support, creating feelings of loss and sadness.47 The quality of the parents’ pre- and postdivorce relationship plays a significant role in the child’s emotional and social response and the father’s involvement with his children. The quality of a father’s parenting has been found to be inversely related to sibling conflict, adolescent depression, delinquent behavior, and affiliation with deviant peers.48 Yet, there is a negative relationship between divorce and the quality of father’s parenting; in other words, divorce can lead to less quality parenting by fathers, compounding the aforementioned problems.
There are situations, however, in which divorce can improve paternal involvement. In these situations, positive changes in the father-child bond are a result of increased opportunities to relate to the child in a conflict-free atmosphere.49 Fathers may find themselves in the role of primary caregiver and, for the first time, engaging the health care system. Keeping both parents apprised of the child’s health and involved in the child’s life as well as keeping track of the emerging important adult figures in the child’s life becomes part of the pediatrician’s responsibilities.

My wife has decided to cut me out of my kid’s life. What do you think the outcome of my kids in the future?

Rohner, R. P. (1998). Father love and child development: History and current evidence. Current Directions in Psychological Science, 7, 157-161. http://www.cspar.uconn.edu/intro_partheory.html